Question

Simplify: High School level Algebra question

Answer 1

What?

Answer 2

Hold on.

Answer 3

ok

Answer 4

\[5(x^2-4)-(x^2-4)e ^{7-x}\]

Answer 5

oh goodness! I'm not that far yet! sorry!

Answer 6

The next step where I am stuck at is getting it to:
\[(x^2-4)(5-e ^{7x})=0\]

Answer 7

I know what the final answer is. Just trying to understand this step.

Answer 8

okay so basically there is a rule in simplifying algebra;

a(b -c) + d(b - c) = 0
then you can simplify i down to (b - c) (a + d) = 0 simply by pulling out the bracket with the common terms.

Answer 9

Okay thanks. I was thinking it was something like that, but wanted to be sure!