SOLUTION: Can you please show me how to break down and solve (x-1)(x-1)-(6x+6)(x+1)

Question 828722: Can you please show me how to break down and solve (x-1)(x-1)-(6x+6)(x+1)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First use the idea that (a+b)(c+d) = a(c+d) + b(c+d)

to go from this

(x-1)(x-1)-(6x+6)(x+1)

to this

x(x-1)-1(x-1)-[6x(x+1)+6(x+1)]

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Then distribute to get

x^2-x-x+1-[6x^2+6x+6x+6]

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Afterwards, distribute that negative through to get this

x^2-x-x+1-6x^2-6x-6x-6

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

And finally, combine like terms to get this

-5x^2-14x-5

=====================================================================

So the final answer is -5x^2-14x-5
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