How do you factor $6 x^{2} + 6 x^{3}$ $6x^2+6x^3$ ?

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Answer 1 · 2018-03-10T18:04:08

$6 x^{2} + 6 x^{3} = 5 x^{2} (1 + x)$ $6x^2+6x^3=5x^2(1+x)$

We can bring out a $6$ $6$ out of both terms to begin with:

$6 x^{2} + 6 x^{3} = 6 (x^{2} + x^{3})$ $6x^2+6x^3=6(x^2+x^3)$

Now we notice that we can also bring out an $x^{2}$ $x^2$ :

$6 (x^{2} + x^{3}) = 6 x^{2} (1 + x)$ $6(x^2+x^3)=6x^2(1+x)$

which is the most factoring we can do.

How do you factor 6x^2+6x^3 6x2+6x3 6x^2+6x^3 ?