1. perfrom addtion or subtraction and simplyfy. 2/(x^2-x-2) + 10/(x^2+2x-8)

Mauricio Mathis

Mauricio Mathis

Answered question

2022-07-26

1. perfrom addtion or subtraction and simplyfy. 2 / x 2 x 2 + 10 / x 2 + 2 x 8
2. simplyfy the complex fraction x under square root (x - 1/2x x undersquare root / x under square root.

Answer & Explanation

eri1ti0m

eri1ti0m

Beginner2022-07-27Added 11 answers

2 x 2 x 2 + 10 x 2 + 2 x 8 = 2 ( x 2 ) ( x + 1 ) + 10 ( x + 4 ) ( x 2 )
= 2 ( x + 4 ) ( x + 4 ) ( x 2 ) ( x + 1 ) + 10 ( x + 1 ) ( x + 1 ) ( x + 4 ) ( x 2 ) = 6 ( 2 x + 3 ) ( x + 4 ) ( x 2 ) ( x + 1 ) = 12 x + 18 ( x + 4 ) ( x 2 ) ( x + 1 )
Bernard Boyer

Bernard Boyer

Beginner2022-07-28Added 5 answers

2 / ( x 2 x 2 ) + 10 / ( x 2 + 2 x 8 )
= 2 / ( x 2 2 x + x 2 ) + 10 / ( x 2 + 4 x 2 x 8 )
= 2 / [ x ( x 2 ) + 1 ( x 2 ) ] + 10 / [ x ( x + 4 ) 2 ( x + 4 ) ]...........................we are doing middle term factorization in the denominators
= 2 / [ ( x 2 ) ( x + 1 ) ] + 10 / [ ( x + 4 ) ( x 2 ) ]
= [ 2 ( x + 4 ) + 10 ( x + 1 ) ] / [ ( x + 1 ) ( x 2 ) ( x + 4 ) ]...................................by doing L.C.M.
= [ 2 x + 8 + 10 x + 10 ] / [ ( x + 1 ) ( x 2 ) ( x + 4 ) ]
= [ ( 2 x + 10 x ) + ( 10 + 8 ) ] / [ ( x + 1 ) ( x 2 ) ( x + 4 ) ]
= [ 12 x + 18 ] / [ ( x + 1 ) ( x 2 ) ( x + 4 ) ]
Answer: [ 12 x + 18 ] / [ ( x + 1 ) ( x 2 ) ( x + 4 ) ]

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?