Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Question

2 years ago

9

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

ct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Perform the indicated operation.

Mathematics

1 answer:

Len [333] · Answer 1 · 2022-08-16T06:23:28+03:00

Answer:

In the operation, simplify

9-a² = (3-a)(3+a)

Factorize

4a²-4a-24-------------------divide each term by 4

a²-a-6-------------------------factorize

a²-3a+2a-6

a(a-3)+2(a-3)

(a+2)(a-3)

Factorize

a²-6a+9

a²-3a-3a+9

a(a-3)-3(a-3)

(a-3)(a-3)

Rewrite operation as

$\frac{8}{(3-a)(3+a)} /\frac{(a+2)(a-3)}{(a-3)(a-3)}$

Multiply by the recipricol

$\frac{8}{(3-a)(3+a)} *\frac{(a-3)(a-3)}{(a+2)(a-3)}$

cancel the similar terms

$\frac{8}{(3-a)(3+a)} *\frac{(a-3)}{(a+2)}$