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Chapter 8: Q 236 (page 954)

Subtract5n+7-10nn2-49.

Short Answer

Expert verified

The result is-5n-7.

Step by step solution

01

Given Information      

The Given expression is 5n+7-10nn2-49.

02

Find the LCD of denominators.     

Factor the denominators.

n2-49=(n+7)(n-7)

n+7=(n+7)

LCD=(n+7)(n-7)

Rewrite the expression in factored form.

=5n+7-10n(n+7)(n-7)

03

Rewrite each fraction as an equivalent fraction with the LCD.  

=5(n-7)(n+7)(n-7)-10n(n+7)(n-7)

=5n-35(n+7)(n-7)-10n(n+7)(n-7)

04

Subtract 

Take common denominator.

=5n-35-10n(n+7)(n-7)

=-5n-35(n+7)(n-7)

Simplify numerator and cancel out common terms.

=-5(n+7)(n+7)(n-7)

=-5n-7

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