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Subtract6cc2-25-3c+5.

Short Answer

Expert verified

The result is3c-5.

Step by step solution

01

Given Information   

The Given expression is6cc2-25-3c+5.

02

Find the LCD of denominators.   

Factor the denominators.

c2-25=(c+5)(c-5)

c+5=(c+5)

LCD=(c+5)(c-5)

Rewrite the expression in factored form.

=6c(c+5)(c-5)-3(c+5)

03

Rewrite each fraction as an equivalent fraction with the LCD.   

=6c(c+5)(c-5)-3(c-5)(c+5)(c-5)

Simplify numerators.

=6c(c+5)(c-5)-3c-15(c+5)(c-5)

04

Subtract and simplify the numerator.  

Take common denominator.

=6c-(3c-15)(c+5)(c-5)

=6c-3c+15(c+5)(c-5)

Simplify numerator.

=3c+15(c+5)(c-5)

=3(c+5)(c+5)(c-5)

=3c-5

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