Question 828722
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



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And finally, combine like terms to get this


-5x^2-14x-5



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So the final answer is <font color="red">-5x^2-14x-5</font>