Simplifying Rational Expressions: I need answers for both 7 and 8 below. Answers for just one or the other is also fine.

Step by step explanation

1.

Use to rewrite the fractions

Write all numerators above the Least Common Denominator ( X - 1 ) ( X + 1 )

When there is a ( - ) in front of an expression in parentheses , change the sign of each term in the expression

Using , simplify the product

Since two opposites add up to zero, remove them from the expression

So, Option A is the right option.

___________________________________

2.

Write - X as a difference

Using , factor the expression

Factor the expression

Factor out X+3 from the expression

Reduce the fraction with x-4

Write all the numerators above the common denominator

When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression

Collect like terms

Subtract the numbers

Undefined at,

X + 4 = 0

Move constant to R.H.S and change its sign

Calculate

So, the answer is :

, undefined at X = -4 and 4

Hope this helps..

Best regards!!