Question

How to factor g2 − 32g + 256

Answer 1

`(g-16)^2`

Explanation:

`g^2-32g + 256`

To factor it you should remember that

`(a-b)^2 = a^2 -2ab+b^2`

It is easy to seee that

`32 = 2 \cdot 16`

and

`256 = 16^2`

Therefore

`g^2-32g + 256 = g^2 - (2\cdot 16)g+ 16^2 = (g-16)^2`

Answer 2

Using the snowflake method, you have to find the factors of 256 that add up to get 32.

The result will look like this:

(g-16)(g-16)