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Simplify the rational expression5r2+30rs-35s2r2-49s25r2+30rs-35s2r2-49s2

Short Answer

Expert verified

Simplified form of

5r2+30rs-35s2r2-49s2is5(r-1s)(r-7s);r≠7s.

Step by step solution

01

. Given information

Given rational expression is 5r2+30rs-35s2r2-49s2.

We need to simplify the given rational expression.

02

. Simplify the rational expression

To simplify we have to factor both numerator and denominator separately and divide out the common factor .Then the simplified form is

5r2+30rs-35s2r2-49s2=5(r2+6rs-7s)(r+7s)(r-7s)=5(r+7s)(r-1s)(r+7s)(r-7s)=5(r-1s)(r-7s);r≠7s

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