Solve g(x)=-4(x+6)^2+3 | Microsoft Math Solver

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-4\left(x^{2}+12x+36\right)+3

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.

-4x^{2}-48x-144+3

Use the distributive property to multiply -4 by x^{2}+12x+36.

-4x^{2}-48x-141

Add -144 and 3 to get -141.

-4\left(x^{2}+12x+36\right)+3

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+6\right)^{2}.

-4x^{2}-48x-144+3

Use the distributive property to multiply -4 by x^{2}+12x+36.

-4x^{2}-48x-141

Add -144 and 3 to get -141.

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