SOLUTION: 1. (4x-1)(2x+3) 2. (9m-4)(2m-3) 3. (7c+3)(7c-3) 4. (3b+8)(3b-8) 5. (2r-5)squared 6. (a+4b)squared 7, (x+7)(2x-3) 8. (4y-1)(2y-7) 9. (6m+5)(5m+6) 10. (11a-4)(a=3)

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: 1. (4x-1)(2x+3) 2. (9m-4)(2m-3) 3. (7c+3)(7c-3) 4. (3b+8)(3b-8) 5. (2r-5)squared 6. (a+4b)squared 7, (x+7)(2x-3) 8. (4y-1)(2y-7) 9. (6m+5)(5m+6) 10. (11a-4)(a=3)      Log On


   



Question 54299: 1. (4x-1)(2x+3)
2. (9m-4)(2m-3)
3. (7c+3)(7c-3)
4. (3b+8)(3b-8)
5. (2r-5)squared
6. (a+4b)squared
7, (x+7)(2x-3)
8. (4y-1)(2y-7)
9. (6m+5)(5m+6)
10. (11a-4)(a=3)

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
I'll show you three, if you still can't work these on your own, resubmit the others. Math is not a spectator sport-you have to do this yourself or you will never learn how.
First, take the first term in the first set of parenthesis and multiply it by everything in the second set of parenthesis.
Then, take the second term in the first set of parenthesis and multiply it by everything in the second set of parenthesis.
Some people call the first two steps FOIL for multiplying the (First, Outer,Inner,Last) terms.
F %28highlight%28a%29%2Bb%29%28highlight%28c%29%2Bd%29 (a*c)
0 %28highlight%28a%29%2Bb%29%2A%28c%2Bhighlight%28d%29%29 (a*d)
i %28a%2Bhighlight%28b%29%29%28highlight%28c%29%2Bd%29 (b*c)
L %28a%2Bhighlight%28b%29%29%28c%2Bhighlight%28d%29%29 (b*d)
Finally, combine your like terms.
1.
%284x-1%29%282x%2B3%29
4x%282x%29%2B4x%283%29-1%282x%29-1%283%29
8x%5E2%2B12x-2x-3
8x%5E2%2B%2812-2%29x-3
highlight%288x%5E2%2B10x-3%29
3.This has the pattern %28a%2Bb%29%28a-b%29=a%5E2-b%5E2, you'll recognize this the more that you do them.
%287c%2B3%29%287c-3%29
7c%287c%29%2B7c%28-3%29%2B3%287c%29%2B3%28-3%29
49c%5E2-21c%2B21c-9
49c%5E2%2B%28-21%2B21%29c-9
49c%5E2%2B0c-9
highlight%2849c%5E2-9%29
5.This has the pattern %28a-b%29%5E2=a%5E2-2ab%2Bb%5E2, you'll recognize this the more that you do them.
%282r-5%29%5E2
%282r-5%29%282r-5%29
2r%282r%29%2B2r%28-5%29-5%282r%29-5%28-5%29
4r%5E2-10r-10r%2B25
4r%5E2%2B%28-10-10%29r%2B25
highlight%284r%5E2-20r%2B25%29
Happy Calculating!!!