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Chapter 8: Q 235 (page 954)

Subtract6dd2-64-3d-8

Short Answer

Expert verified

The result is3d+8.

Step by step solution

01

Given Information     

The Given expression is6dd2-64-3d-8.

02

Find the LCD of denominators.    

Factor the denominators.

d2-64=(d+8)(d-8)

d-8=(d-8)

LCD=(d+8)(d-8)

Rewrite the expression in factored form.

=6d(d+8)(d-8)-3d-8

03

Rewrite each fraction as an equivalent fraction with the LCD.     

=6d(d+8)(d-8)-3(d+8)(d+8)(d-8)

=6d(d+8)(d-8)-3d+24(d+8)(d-8)

04

Subtract

Take common denominator.

=6d-(3d+24)(d+8)(d-8)

=6d-3d-24(d+8)(d-8)

Simplify numerator and cancel out common terms.

=3d-24(d+8)(d-8)

=3(d-8)(d+8)(d-8)

=3d+8

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