How do you factor 2a^2-32?

3 Answers
Apr 30, 2018

2a^2 - 32 = 2(a-4)(a+4)

Explanation:

2a^2 - 32 = 2(a^2 - 16) (factoring out 2)
= 2(a - 4)(a + 4)

^This is an identity, a^2 - b^2 = (a-b)(a+b)

Apr 30, 2018

2(a+4)(a-4)

Explanation:

To factor 2a^2-32

Begin by factoring out 2 from each term.

2(a^2-16)

a^2 - 16 is the difference of two squares and can be factored as a^2-b^2 = (a+b)(a-b)

2(a+4)(a-4)

Apr 30, 2018

2(a- 4)(a + 4)

Explanation:

Factorize the expression (2a^2 - 32) first, which will give us
2(a^2 - 16)
But (a^2 - 16) is a perfect square expression. Therefore it can further be factorized to
(a^2 - 16)
=(a- 16)^2
=(a- 4)(a + 4)
Hence joining all them will sum up to
:. 2(a- 4)(a + 4)