Question

Factor 16x2 – 48x + 36 completely.

Answer 1

4 ( 2 − 3 ) ^2

Explanation:

1

Common factor

1 6 ^2 − 4 8 + 3 6

4 ( 4 ^2 − 1 2 + 9 )

2

Use the sum-product pattern

4(4x2−12x+9)

4 ( 4 ^ 2 − 6 − 6 + 9 )

3

Common factor from the two pairs

4 ( 4 ^2 − 6 − 6 + 9 )

4 ( 2 ( 2 − 3 )− 3 ( 2 − 3 ) )

Solution

4 ( 2 − 3 ) ^2