Evaluate
\left(x+4\right)\left(x-3\right)^{2}
Expand
x^{3}-2x^{2}-15x+36
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\left(x+4\right)\left(x^{2}-6x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
x^{3}-2x^{2}-15x+36
Use the distributive property to multiply x+4 by x^{2}-6x+9 and combine like terms.
\left(x+4\right)\left(x^{2}-6x+9\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-3\right)^{2}.
x^{3}-2x^{2}-15x+36
Use the distributive property to multiply x+4 by x^{2}-6x+9 and combine like terms.
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