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Chapter 8: Q 195 (page 953)

Add8(t+5)+6(t-5).

Short Answer

Expert verified

The sum is14t-10(t+5)(t-5).

Step by step solution

01

Given Information

The Given expression is8(t+5)+6(t-5).

02

Find the LCD of denominators.

Since there are no common factors in denominators.

The LCD is(t+5)(t-5).

03

Rewrite each fraction as an equivalent fraction with the LCD.

=8(t-5)(t+5)(t-5)+6(t+5)(t+5)(t-5)

Simplify numerator.

=8t-40(t+5)(t-5)+6t+30(t+5)(t-5)

04

Add

Take common denominator and simplify numerator.

=8t-40+6t+30(t+5)(t-5)

=14t-10(t+5)(t-5)

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