Question

What is the fully factored form of 32a3 + 12a2?

Answer 1

`4a^2 \cdot (8a+3)`

Explanation:

GCF(Greatest common Factor) is the largest factor that divides the two numbers.

Given the expression:

`32a^3+12a^2`

To find the GCF of
`32a^3` and
`12a^2`

Greatest Common factor of
`32a^3` and
`12a^2` is,
`4a^2`.

then;

`4a^2 \cdot (8a+3)` [by distributive property,
`a\cdot (b+c) = a\cdot b+ a\cdot c` ]

Therefore, the fully factored form of
`32a^3+12a^2` is,
`4a^2 \cdot (8a+3)`

Answer 2

32a^3 + 12a^2
a^2 (32a + 12)
a^2* 4(8a+3)
4a^2 (8a+3)