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imagewidth (px) 2
3.75k
| material_type
stringclasses 2
values | latex
sequencelengths 1
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|---|---|---|
HW | [
"$\\displaystyle 96 a b c$"
] |
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HW | [
"$\\displaystyle 96 a b c$"
] |
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HW | [
"$\\displaystyle =-\\left(2 x^{3}+8 x^{2}+3 x+4\\right)$"
] |
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HW | [
"$\\displaystyle 2\\left(-7 x^{2}+x-2\\right)$"
] |
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HW | [
"$\\displaystyle 2\\left(-7 x^{2}+x-2\\right)$"
] |
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HW | [
"$\\displaystyle -x^{3}+3 x^{2}-4 x-1$"
] |
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HW | [
"$\\displaystyle -x^{3}+3 x^{2}-4 x-1$"
] |
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HW | [
"$\\displaystyle =-2 x^{3}-8 x^{2}-3 x-4$"
] |
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HW | [
"$\\displaystyle -14 x^{2}+2 x-4$"
] |
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HW | [
"$\\displaystyle \\left(2 x^{2}-x-8\\right)\\left(x^{2}-2 x+k\\right)$"
] |
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HW | [
"Good!"
] |
|
HW | [
"Good!"
] |
|
HW | [
"㊵"
] |
|
HW | [
"㊵"
] |
|
HW | [
"$\\displaystyle -35 a b-2 a b=-37 a b$"
] |
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HW | [
"$\\displaystyle -35 a b-2 a b=-37 a b$"
] |
|
HW | [
"$\\displaystyle -37$"
] |
|
HW | [
"Good!"
] |
|
HW | [
"Good!"
] |
|
HW | [
"Perfect!"
] |
|
HW | [
"Perfect!"
] |
|
HW | [
"$\\displaystyle 28x^{2}-23 x-15$"
] |
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HW | [
"$\\displaystyle (7x+3)(4x-5)=28x^{2}+(-35+12)x-15$"
] |
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HW | [
"$\\displaystyle (7x+3)(4x-5)=28x^{2}+(-35+12)x-15$"
] |
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HW | [
"$\\displaystyle 4 x^{3}-3 x^{2}+10 x-17$"
] |
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HW | [
"$\\displaystyle 4 x^{3}-3 x^{2}+10 x-17$"
] |
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HW | [
"$\\displaystyle 4 x^{3}-3 x^{2}+10 x-17$"
] |
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HW | [
"$\\displaystyle (x-3)(x+3)(x-8)$"
] |
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HW | [
"$\\displaystyle \\left(x^{2}-9\\right)(x-8)$"
] |
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HW | [
"$\\displaystyle x^{3}-8 x^{2}-9 x+7=$"
] |
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HW | [
"$\\displaystyle x^{3}-8 x^{2}-9 x+72$"
] |
|
HW | [
"$\\displaystyle a-b =$"
] |
|
HW | [
"$\\displaystyle k=34$"
] |
|
HW | [
"$\\displaystyle k=34$"
] |
|
HW | [
"$\\displaystyle 34$"
] |
|
HW | [
"$\\displaystyle -5\\left(x^{2}+2 x-54+1\\right)+5(3 x-y+6)$"
] |
|
HW | [
"$\\displaystyle -5\\left(x^{2}+2 x-54+1\\right)+5(3 x-y+6)$"
] |
|
HW | [
"$\\displaystyle -5 x^{2}-10 x+254-5+15 x-54+30$"
] |
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HW | [
"$\\displaystyle =-5 x^{2}+5 x+209+25$"
] |
|
HW | [
"42. $\\displaystyle {x}^{2}+5 x-1=0$"
] |
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HW | [
"42. $\\displaystyle {x}^{2}+5 x-1=0$"
] |
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HW | [
"$\\displaystyle x-\\frac{1}{x}=-5$"
] |
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HW | [
"$\\displaystyle x^{3}-\\frac{1}{x^{3}}=\\left(x-\\frac{1}{x}\\right)^{3}+3\\left(x-\\frac{1}{x}\\right)$"
] |
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HW | [
"$\\displaystyle =-125-15$"
] |
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HW | [
"$\\displaystyle 7 x-2 x^{2}-15+5 x^{3}$"
] |
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HW | [
"$\\displaystyle 7 x-2 x^{2}-15+5 x^{3}$"
] |
|
HW | [
"$\\displaystyle 30$"
] |
|
HW | [
"$\\displaystyle 30$"
] |
|
HW | [
"12."
] |
|
HW | [
"12."
] |
|
HW | [
"$\\displaystyle x+y=-9 \\quad x y=7 $"
] |
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HW | [
"$\\displaystyle =81+7$"
] |
|
HW | [
"$\\displaystyle =81+7$"
] |
|
HW | [
"$\\displaystyle =88$"
] |
|
HW | [
"$\\displaystyle =88$"
] |
|
HW | [
"$\\displaystyle 3 x^{3}-x^{2}+10 x-16$"
] |
|
HW | [
"$\\displaystyle 3 x^{3}-x^{2}+10 x-16$"
] |
|
HW | [
"Good!"
] |
|
HW | [
"Good!"
] |
|
HW | [
"$\\displaystyle 10x^{10}+\\left(9 x^{9} \\times x\\right)+\\left(8 x^{2} \\times 2 x^{8}\\right) \\cdots+\\left(x \\times 9x^{9}\\right) \\times$"
] |
|
HW | [
"$\\displaystyle 10x^{10}+\\left(9 x^{9} \\times x\\right)+\\left(8 x^{2} \\times 2 x^{8}\\right) \\cdots+\\left(x \\times 9x^{9}\\right) \\times$"
] |
|
HW | [
"$\\displaystyle 24 x^{10}+21x^{10}+16 x^{10}+9 x^{10}+10 x^{10})$"
] |
|
HW | [
"$\\displaystyle =185 x^{10}$"
] |
|
HW | [
"$\\displaystyle =185 x^{10}$"
] |
|
HW | [
"$\\displaystyle x+y=-3$"
] |
|
HW | [
"$\\displaystyle x y=7$"
] |
|
HW | [
"$\\displaystyle x y=7$"
] |
|
HW | [
"$\\displaystyle -12$"
] |
|
HW | [
"$\\displaystyle -12$"
] |
|
HW | [
"$\\displaystyle (11x+3)(3 x-5)$"
] |
|
HW | [
"$\\displaystyle (11x+3)(3 x-5)$"
] |
|
HW | [
"$\\displaystyle =33 x^{2}-55 x+9 x-15$"
] |
|
HW | [
"$\\displaystyle =33 x^{2}-46 x-15$"
] |
|
HW | [
"$\\displaystyle =33 x^{2}-46 x-15$"
] |
|
HW | [
"$\\displaystyle 33 x^{2}-46 x-15$"
] |
|
HW | [
"$\\displaystyle 33 x^{2}-46 x-15$"
] |
|
HW | [
"$\\displaystyle 16 x^{2}+40 x+25$"
] |
|
HW | [
"$\\displaystyle 16 x^{2}+40 x+25$"
] |
|
HW | [
"$\\displaystyle 12 a b+16 b^{2}-16 b c$"
] |
|
HW | [
"$\\displaystyle 12 a b+16 b^{2}-16 b c$"
] |
|
HW | [
"$\\displaystyle 12 a c+16 b c-16 c^{2}$"
] |
|
HW | [
"$\\displaystyle =9 a^{2}+16 b^{2}-16 c^{2}+24 a b$"
] |
|
HW | [
"$\\displaystyle =9 a^{2}+16 b^{2}-16 c^{2}+24 a b$"
] |
|
HW | [
"$\\displaystyle (2 x^{2}-x+2)(x^{2}-4x+k)= \\cdots -kx-8x,\\quad -k-8=5,\\quad k =-13$"
] |
|
HW | [
"good!"
] |
|
HW | [
"$\\displaystyle k=-13$"
] |
|
HW | [
"$\\displaystyle a=5, b=-2, c=-3 .$"
] |
|
HW | [
"$\\displaystyle 0$"
] |
|
HW | [
"$\\displaystyle 0$"
] |
|
HW | [
"$\\displaystyle (x+4) P(x)=(x-6)(x+4) Q(x)+x+4$"
] |
|
HW | [
"$\\displaystyle (x+4) P(x)=(x-6)(x+4) Q(x)+x+4$"
] |
|
HW | [
"$\\displaystyle =(x-6)(x+4) Q(x)+x-6+10$"
] |
|
HW | [
"$\\displaystyle =(x-6)(x+4) Q(x)+x-6+10$"
] |
|
HW | [
"$\\displaystyle =(x-6)\\{(x+4) Q(x)+1\\}+10$"
] |
|
HW | [
"$\\displaystyle a=4, b=-4, \\quad c=-1 .$"
] |
|
HW | [
"$\\displaystyle a+b+c=-1$"
] |
|
HW | [
"$\\displaystyle a+b+c=-1$"
] |
|
HW | [
"$\\displaystyle (x-1)^{54}=x Q(x)+R$"
] |
|
HW | [
"$\\displaystyle 471^{54}=472 Q(472)+1 .$"
] |
|
HW | [
"$\\displaystyle P(x)=(x+3) Q(x)+4$"
] |
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