71.9k views
2 votes
I don’t get how the answer is one..

not sure how to factor/reduce what I was able to reduce to equal 1

Did I do something wrong

I don’t get how the answer is one.. not sure how to factor/reduce what I was able-example-1
User Rachid
by
8.0k points

1 Answer

5 votes

Answer:

see explanation

Explanation:

Factorise the numerators on both fractions

a² + 10a + 25 = (a + 5)(a + 5) ← perfect square

a² - 25 = (a - 5 )(a + 5) ← difference of squares

To divide, leave the first fraction, change division to multiplication and turn the second fraction upside down.

Hence

=
((a+5)(a+5))/(a+5) ×
(a-5)/((a-5)(a+5))

Cancel both the (a + 5) factors on the numerator/ denominators and the (a - 5) factor on the numerator/denominator, leaving

= 1 ← as required

User Daehee
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories