Question

Simplify.

9−x^2/9x+27



x−3/9
3−x
x+3/9
3−x/9

Answer 1

It's the last choice: (3 - x) / 9.

Explanation:

9−x^2/9x+27

= (3 + x)(3 - x) / 9(x + 3) The 3 + x is common to top and bottom, so:

the answer is (3 - x) / 9.

Answer 2

3−x/9

Explanation:

we have expression

9−x²/9x+27

by making square of the terms and taking common

3²-x²/9(x+3)

as we know a²-b² = (a+b)(a-b)

so

(3+x)(3-x)/9(x+3)

rearrange

(x+3)(3-x)/9(x+3)

subtracting (x+3) from denominator and nominator

3-x/9

3-x/9 is the right answer