How can I prove that (A × B) − (C × D) = (A − C) × B ∪ A × (B − D)?
How can I prove (A × B) − (C × D) = (A − C) × B ∪ A × (B − D)?
How do I prove that (A X (B X C)) = B(A.C)-C(A.B)? How does one prove for [math]a,b,c \ge 0[/math] that [math]a^3+b^3+c^3 \ge 3abc[/math]? How do I do this: x/ (a+b-c) =y/ (b+c-a) =z/ (c+a-b), prove that, (z+x) /a=(x+y) /b=(y+z) /c? How do we prove [math](1+\frac{1}{n})^n < (1+ \frac{1}{n+1})^{n+1}[/math]? How do I prove that if [math]\frac{b}{a} = \frac{d}{a}[/math], then [math]b = d[/math]? How can we prove that C(n,k) = C (n-1,k) +C (n-1,k-1)? How do I prove that for all sets A, B, and C, (A - B) - C = (A - B) - (A-C)? How do you prove a = v^2/r? How do I proof ( −)∪( −) = ( ∪)−? Show the proof for a xor c = b if a xor b = c? How do I prove that [1+(k+1) / (1! *2) +(k+1) (k+2) / (2! *2^2) +...] is (1/2) ^-(k+1)? How can one prove this? How can I prove [math]\sin(3\theta) = 3\cos^2\theta\sin\theta - \sin^3\theta[/math] using De Moivre's theorem? How does one prove that [math]a^3+b^3+c^3=3abc[/math]? If [math]a,b, c \gt 0[/math] and [math]abc=1[/math], how can I prove that [math](a+2) (b+3) (c+6) \ge 48?[/math] How do I prove or disprove the following: f(n) = o(g(x)) implies f(n) = O(g(n))? How do I prove [math]\omega_1\cdot\omega_2\cdot\omega_3\cdot\omega_4\cdot\omega_5=1[/math] where [math]\omega_k=\cos\frac{2\pi(k-1)}5+i\sin\frac{2\pi(k-1)}5[/math] ? If X√(1+y) +y√(1+x) = 0, then how can one show that dy/dx=-1/ (〖(1+x) 〗^2)? What is the proof? Prove it using integration- e^b>1+b+b^2/2? How can you prove that: 1/(1-i) ^2 - 1/(1+i) ^2 = I? How do I prove that [math]\frac{1}{e}=1-1+\frac{1}{2!}+...+\frac{(-1)^n}{n!}+...[/math]? How do you prove that for all sets A, B and C, (A∪B) \C = (A\C) ∪ (B \C)? How do I prove 2=-2? How do I prove that if A, B and C are sets, then A × (B −C) = (A ×B) − (A ×C)? How can we prove 1=2? How can it be proven that [math]x+y=x\times y=\frac{x}{y}[/math]? How do I prove 1+1=2? How do I prove that [math]\sin(\theta)\cos^2(\theta)+\sin^3(\theta)=\sin(\theta)[/math]? If [math]a, b,[/math] and [math]c[/math] are positive real numbers, and [math]a \lt b + c[/math], how can you prove that [math]\dfrac{a}{1+a} < \dfrac{b}{1+b} + \dfrac{c}{1+c}[/math]? How can i do? Arctan(1/2)-arctan(1/3) < 1/6 prove by mean value theorem?