Question

Factor completely, then place the answer in the proper location on the grid. Write the answer in descending powers of a.

4a^4 + 6a^3b^2 + 2a^2b^3

Answer 1

4a⁴ + 6a³b² + 2a²b³ => 2a²(2a² + 3ab² + b³) 

Answer 2

Answer:

$=2\cdot{a^2}\cdot{(2\cdot{a^2}+3\cdot{a}\cdot{b^2}+b^3)}$

Step-by-step explanation:

We can factor the common number terms, a terms and b terms. The common term is 2a².

$=4\cdot{a^4}+6\cdot{a^3}\cdot{b^2}+2\cdot{a^2}\cdot{b^3}$

$=2\cdot{a^2}\cdot{(2\cdot{a^2}+3\cdot{a}\cdot{b^2}+b^3)}$