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\left(8x^{2}-32x\right)\left(x+7\right)
Use the distributive property to multiply 8x by x-4.
8x^{3}+56x^{2}-32x^{2}-224x
Apply the distributive property by multiplying each term of 8x^{2}-32x by each term of x+7.
8x^{3}+24x^{2}-224x
Combine 56x^{2} and -32x^{2} to get 24x^{2}.
\left(8x^{2}-32x\right)\left(x+7\right)
Use the distributive property to multiply 8x by x-4.
8x^{3}+56x^{2}-32x^{2}-224x
Apply the distributive property by multiplying each term of 8x^{2}-32x by each term of x+7.
8x^{3}+24x^{2}-224x
Combine 56x^{2} and -32x^{2} to get 24x^{2}.