Solve f(x)=-4(x+1)^2+6 | Microsoft Math Solver

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-4\left(x^{2}+2x+1\right)+6

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.

-4x^{2}-8x-4+6

Use the distributive property to multiply -4 by x^{2}+2x+1.

-4x^{2}-8x+2

Add -4 and 6 to get 2.

-4\left(x^{2}+2x+1\right)+6

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+1\right)^{2}.

-4x^{2}-8x-4+6

Use the distributive property to multiply -4 by x^{2}+2x+1.

-4x^{2}-8x+2

Add -4 and 6 to get 2.

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