Solve F(x)=3(x-4)^2-4 | Microsoft Math Solver

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3\left(x^{2}-8x+16\right)-4

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.

3x^{2}-24x+48-4

Use the distributive property to multiply 3 by x^{2}-8x+16.

3x^{2}-24x+44

Subtract 4 from 48 to get 44.

3\left(x^{2}-8x+16\right)-4

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.

3x^{2}-24x+48-4

Use the distributive property to multiply 3 by x^{2}-8x+16.

3x^{2}-24x+44

Subtract 4 from 48 to get 44.

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