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\left(-4x^{2}+16x\right)\left(x+2\right)
Use the distributive property to multiply -4x by x-4.
-4x^{3}-8x^{2}+16x^{2}+32x
Apply the distributive property by multiplying each term of -4x^{2}+16x by each term of x+2.
-4x^{3}+8x^{2}+32x
Combine -8x^{2} and 16x^{2} to get 8x^{2}.
\left(-4x^{2}+16x\right)\left(x+2\right)
Use the distributive property to multiply -4x by x-4.
-4x^{3}-8x^{2}+16x^{2}+32x
Apply the distributive property by multiplying each term of -4x^{2}+16x by each term of x+2.
-4x^{3}+8x^{2}+32x
Combine -8x^{2} and 16x^{2} to get 8x^{2}.