Expand
x^{3}-8x^{2}+19x-4
Evaluate
x\left(x-4\right)^{2}+3x-4
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x\left(x^{2}-8x+16\right)+3x-4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{3}-8x^{2}+16x+3x-4
Use the distributive property to multiply x by x^{2}-8x+16.
x^{3}-8x^{2}+19x-4
Combine 16x and 3x to get 19x.
x\left(x^{2}-8x+16\right)+3x-4
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-4\right)^{2}.
x^{3}-8x^{2}+16x+3x-4
Use the distributive property to multiply x by x^{2}-8x+16.
x^{3}-8x^{2}+19x-4
Combine 16x and 3x to get 19x.
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