Evaluate
x\left(10-x\right)\left(10-7x\right)+6
Expand
7x^{3}-80x^{2}+100x+6
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\left(-x^{2}+10x\right)\left(-7x+10\right)+6
Use the distributive property to multiply -x+10 by x.
7x^{3}-10x^{2}-70x^{2}+100x+6
Apply the distributive property by multiplying each term of -x^{2}+10x by each term of -7x+10.
7x^{3}-80x^{2}+100x+6
Combine -10x^{2} and -70x^{2} to get -80x^{2}.
\left(-x^{2}+10x\right)\left(-7x+10\right)+6
Use the distributive property to multiply -x+10 by x.
7x^{3}-10x^{2}-70x^{2}+100x+6
Apply the distributive property by multiplying each term of -x^{2}+10x by each term of -7x+10.
7x^{3}-80x^{2}+100x+6
Combine -10x^{2} and -70x^{2} to get -80x^{2}.
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