SOLUTION: Multiply (separatley): a. (2r-3s)(5r+7s) b. (h^2+6h-7)(2h^2+7h+10)

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Question 318584: Multiply (separatley):
a. (2r-3s)(5r+7s)
b. (h^2+6h-7)(2h^2+7h+10)
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

F.  Multiply the FIRSTS   

%28red%282r%29-3s%29%28red%285r%29%2B7s%29     

Write that down:

%282r%29%285r%29

O. Multiply the OUTERS

%28red%282r%29-3s%29%285r%2Bred%287s%29%29

%282r%29%287s%29

Write that down beside the %282r%29%285r%29

%282r%29%285r%29+%2B+%282r%29%287s%29


I. Multiply the INNERS

%282r-red%283s%29%29%28red%285r%29%2B7s%29

%28-3s%29%285r%29

Write that down beside the %282r%29%285r%29+%2B+%282r%29%287s%29

%282r%29%285r%29+%2B+%282r%29%287s%29%2B%28-3s%29%285r%29

L. Multiply the LASTS

%282r-red%283s%29%29%285r%2Bred%287s%29%29

%28-3s%29%287s%29

Write that down beside the %282r%29%285r%29+%2B+%282r%29%287s%29%2B%28-3s%29%285r%29

%282r%29%285r%29+%2B+%282r%29%287s%29%2B%28-3s%29%285r%29%2B%28-3s%29%287s%29

Simplify

10r%5E2%2B14rs-15rs-21s%5E2

10r%5E2-rs-21s%5E2


---------------------------------

Multiply the red ones: %28red%28h%5E2%29%2B6h-7%29%28red%282h%5E2%29%2B7h%2B10%29

%28h%5E2%29%282h%5E2%29

Multiply the red ones: %28red%28h%5E2%29%2B6h-7%29%282h%5E2%2Bred%287h%29%2B10%29

%28h%5E2%29%282h%5E2%29%2B%28h%5E2%29%287h%29

Multiply the red ones:  %28red%28h%5E2%29%2B6h-7%29%282h%5E2%2B7h%2Bred%2810%29%29

%28h%5E2%29%282h%5E2%29%2B%28h%5E2%29%287h%29%2B%28h%5E2%29%2810%29

Multiply the red ones: %28h%5E2%2Bred%286h%29-7%29%28red%282h%5E2%29%2B7h%2B10%29

%28h%5E2%29%282h%5E2%29%2B%28h%5E2%29%287h%29%2B%28h%5E2%29%2810%29%2B%286h%29%282h%5E2%29

Multiply the red ones: %28h%5E2%2Bred%286h%29-7%29%282h%5E2%2Bred%287h%29%2B10%29



Multiply the red ones: %28h%5E2%2Bred%286h%29-7%29%282h%5E2%2B7h%2Bred%2810%29%29



Multiply the red ones: %28h%5E2%2B6h-red%287%29%29%28red%282h%5E2%29%2B7h%2B10%29



Multiply the red ones: %28h%5E2%2B6h-red%287%29%29%282h%5E2%2Bred%287h%29%2B10%29



Multiply the red ones: %28h%5E2%2B6h-red%287%29%29%282h%5E2%2B7h%2Bred%2810%29%29



Simplify:

2h%5E4%2B7h%5E3%2B10h%5E2%2B12h%5E3%2B42h%5E2%2B60h-14h%5E2-49h-70

2h%5E4%2B19h%5E3%2B38h%5E2%2B11h-70

Edwin