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\left(4x^{2}-12x\right)\left(7-x\right)
Use the distributive property to multiply 4x by x-3.
28x^{2}-4x^{3}-84x+12x^{2}
Apply the distributive property by multiplying each term of 4x^{2}-12x by each term of 7-x.
40x^{2}-4x^{3}-84x
Combine 28x^{2} and 12x^{2} to get 40x^{2}.
\left(4x^{2}-12x\right)\left(7-x\right)
Use the distributive property to multiply 4x by x-3.
28x^{2}-4x^{3}-84x+12x^{2}
Apply the distributive property by multiplying each term of 4x^{2}-12x by each term of 7-x.
40x^{2}-4x^{3}-84x
Combine 28x^{2} and 12x^{2} to get 40x^{2}.