Solve f(x)=-3(x+1)^2+5 | Microsoft Math Solver

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-3\left(x^{2}+2x+1\right)+5

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

-3x^{2}-6x-3+5

Use the distributive property to multiply -3 by x^{2}+2x+1.

-3x^{2}-6x+2

Add -3 and 5 to get 2.

-3\left(x^{2}+2x+1\right)+5

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

-3x^{2}-6x-3+5

Use the distributive property to multiply -3 by x^{2}+2x+1.

-3x^{2}-6x+2

Add -3 and 5 to get 2.

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