Question

How do you factor `2a^4+21a^3+49a^2`?

Answer 1

`a^2(a+7)(2a+7)`

Explanation:

`2a^4+21a^3+49a^2`
=`a^2(2a^2+21a+49)`
=`a^2(2a^2+14a+7a+49)`
=`a^2[2a(a+7)+7(a+7)]`
=`a^2(a+7)(2a+7)`