Question

How to I simplify
10x^9*(x^2 + 1)^10 + 20x^11*(x^2 + 1)^9
into 10x^9*(x^2 + 1)^9*(3x^2 + 1).
Please list steps. Thanks.

Answer 1

I would factor (x^2+1)^9 out from both terms
\[ 10x^9(x^2 + 1)^{10} + 20x^{11}(x^2 + 1)^9 \]
also factor out 10 from both terms
and x^9 from both terms

Answer 2

I'll try that.

Answer 3

It worked, thank you.

Answer 4

yw