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17 votes
What is the simplest form of x^2+5-36/X^2-16

2 Answers

11 votes

Answer:

x^2-36/x^2-11

Explanation:

User Stephen Zeng
by
3.4k points
5 votes

Answer:

x + 9/ x + 4

Explanation:

x^2+5-36/X^2-16

Factor x^2+5x−36x^2+5x-36 using the AC method.

Write the factored form using these integers.
(x−4)(x+9)/x^2−16

Simplify the denominator.

(x−4)(x+9)/x^2−42

Since both terms are perfect squares, factor using the difference of squares formula

(x−4)(x+9)/(x+4)(x−4)

Cancel the common factor of x−4.

Rewrite the expression.
(x+9)/(x+4)

And your answer turns out to be (x+9)/(x+4)


I hope it helps!

Muffin<3

User FrioneL
by
3.5k points