Factor 4x2 - 16 using difference of two squares.

Question

Tony Black

Mathematics

14 April, 13:36

Factor 4x2 - 16 using difference of two squares.

+5

Answers (2)

Know the Answer?

Megan Branch · Answer 1

So, 4x^2 - 16 = (2x + 4) (2x - 4).

Explanation:

4x2^ - 16 is of the form a^2 - b^2 (where a = 2x, b = 4), and as per the identity:

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

So, 4x^2 - 16 = (2x + 4) (2x - 4)

Sam Johnston · Answer 2

4 (x+2) (x-2)

Step-by-step explanation:

4x^2-16

4 (x^2-4)

4 (x+2) (x-2)

The difference of two squares formula is (a+b) (a-b), and it happens only when a^2 is minus b^2