Question

Fully factor 9a2 + 24ab + 16b2

Answer 1

The correct answer is (3a + 4b)^2

Explanation:

Answer 2

`{(3a + 4b)}^(2)`

EXPLANATION

The given function is:

`9{a}^(2) + 24ab + 16 {b}^(2)`

This can be rewritten as

`{(3a)}^(2) + 2(3 * 4)ab + {(4b)}^(2)`

Recall that:

`{x}^(2) + 2xy + {y}^(2) = {(x + y)}^(2)`

Let x=3a and y=4b,

Then,

`{(3a)}^(2) + 2(3 * 4)ab + {(4b)}^(2) = {(3a + 4b)}^(2)`

Hence the fully factored form is:

`{(3a + 4b)}^(2)`