1) x^2+6x+3x+18

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fill in blanks
2) 9(m-9)
3) 6(2p+5) = 12p +30

Handing you a bucket of answers is not helpful to you.
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The Brainliest Answer!

This Is a Certified Answer

When you're multiplying brackets, such as the ones that you have, you have to multiply the 'first digit' ie x, if your brackets are (x+3)(x+6), you have to mulitply x by x, giving you x^2, you then have to multiply x by 6, giving you 6x.
You then do the same with the second digit, giving you 3 multiplied by x, giving you 3x, and 3 muliplied by 6, giving you 18.
You then have to collect the like terms (the similar terms), and these are x^2+6x+3x+18, this then becomes x^2+9x+18.

These are all the same method. The second one is (x-2)(x+5). You multiply x by x, giving you x^2, you then multiply x by 5, giving you 5x. You then mulitply -2 by x, giving you -2x. You then multiply -2 by 5, giving you -10. Then collect the like terms, giving you x^2-5x-2x-10, giving you x^2-3x-10

3. (x-9)(x-6). The same applies, x by x, gives you x^2, -9 by x, gives you -9x, -6 by x, gives you -6x, -6 by -9 gives you 54 (two negatives make a positive), collect the like terms, giving you x^2-9x-6x+54, simplify, and this gives you x^2-15x+54

4. (4x+5)(5x+4). Same applies. 4x y 5x, gives you 20x^2, 4x by 4 gives you 16x. 5 by 5x gives you 25x, 5 by 4 gives you 2o. Like terms= 20x^2+16x+15x+20, which is equal to 20x^2+31x+20

5. (5x-4)(2x+1). 5x by 2x is 10x^2, 5x by 1, is 5x. -4 by 2x is -8x, -4 by 1 is -4. Like terms= 10x^2+5x-8x-4, which is equal to 10x^2-3x-4

6. (x+3)^2, which is (x+3)(x+3). X multiplied by x is x^2, 3 by x is 3x. 3 by x is 3x. 3 by 3 is 9. Like terms= x^2+3x+3x+9= X^2+6x+9

7. (3x+2)^2, which is (3x+2)(3x+2). 3x by 3x is 9x^2. 3x by 2 is 6x, 2 by 3x is 6x. 2 by 2 is 4. Like terms= 9x^2+6x+6x+4= 9x^2+12x+4

8. (3x+4)(3x-4). 3x by 3x is 9x^2, 3x by -4 is -12x. 4 by 3x is 12x, 4 by -4 is -16. Like terms= 9x^2-12x+12x-16= 9x^2-16 (as the +12 and the -12 equal eachother out)

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1. When you're simplifying with somethhing outside of the bracket, you have to muliply everything inside the bracket by everything outside the bracket. 2(a+b). 2 by a is 2a, 2 by b is 2b. Therefore, the expanded bracket is 2a+2b.

2. Same applies with this one. 7(b-1). 7 by b is 7b, 7 by -1 is -7. Therefore, expanded brackets are 7b-7.

3. Same applies once again. 2(6c+4), 2 by 6c is 12c, 1 by 4 is 8. Like terms= 12c+8

4. 9(2d-6). Same applies. 9 by 2d is 18d, 9 by -6 is -54. Like terms= 18d-54

5. With this, as you are looking for the thing that is outside of the bracket, but you already have the answer of 4n+12. As it is just n inside of the brackey, you can divide 4n by n, giving you 4. Just ot check this is correct, divide 12 by 4, giving you 3. This is correct. Therefore, 4 is outside of the bracket.

6. The same applies to this one. you're looking for what is outside the bracket, and what is inside in this case. as the first bit of the expanded bracket is 9n, divide it by 9, giving you 9. Therefore, this is outside the bracket. Then divide 81 by 9, giving you 9, and this is inside the second bracket. Therefore, 9 is both inside and out of the bracket.

7. (2p+5)= p+30. As you're looking for the outside of the first bracket and the first of the expanded. The best way to do this is to use the one answer that you have got. Divide 30 by 5 and this gives you 6. Therefore, this goes outside the bracket. As you've got 6 outside the bracket, you need to multiply 6 by 2p, giving you 12p, and this is the second answer that you're missing.
Therefore, 6 goes outside of the first bracket, and the expanded answer that is missing is 12.

8. As six is outside of the bracket, you need to divide both parts (48 and 24 by 6), 48/6=8, 24/6= 4. Therefore, in the first missing part is 8, and the second is 4.

9.  As all three of the sides are equal, you simply have to multiply these by 3, so without the brackets, this is 3t+9, and with the brackets, is is 3(t+3).

Hope this helps- if you need any more help mymaths, give me a shout as I've used it a lot :)
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That is really really funny. Because my mom did nearly the same thing. She also printed a bunch of questions that I had to learn. But it was a variety of questions.
It's the best way to practise. I'm naturally good at maths- without sounding big headed- but my brother isnt, and he's in his GCSE year, so I've gotta do everything with him at the momeny, just to make sure he passes
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