How do you factor by finding the GCF? $7 x^{3} - 28 x^{3}$ $7x^3 - 28x^3$

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I forgot the steps to factoring this way.

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Answer 1 · 2017-03-18T21:33:25

$7 x^{3}$ $7x^3$

Assuming you mean the greatest common factor of $7 x^{3} and 28 x^{3}$ $7x^3 and 28x^3$

Greatest minus the lesser type approach

$28 x^{3} - 7 x^{3} = 21 x^{3}$ $28x^3-7x^3 = 21x^3$

$21 x^{3} - 7 x^{3} = 14 x^{3}$ $21x^3-7x^3=14x^3$

$14 x^{3} - 7 x^{2} = 7 x^{3}$ $14x^3-7x^2=7x^3$

$7 x^{3} - 7 x^{3} = 0$ $7x^3-7x^3=0$

Thus GCF is $7 x^{3}$ $7x^3$