Question

Factor completely. 3x^2 −147=

Answer 1

Answer:

$3(x - 7)(x+7)$

Step-by-step explanation:

To factor this, you must first take out the GCF (Greatest Common Factor), that $3x^2$ and -147 both have. The terms only have 3 in common, which can be divided with

$3x^2 - 147\\3(x^2 - 49)$

However, we're still not done since 49 is a perfect square and $(x^2 - 49)$ can be split into 2, like so:

$3(x - 7)(x+7)$

If you're unsure about the final answer, you can multiply it all together to see if you got the original expression.