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Chapter 7: Q. 34 (page 652)

Multiply the rational expressions3q2q2+q-6脳q2-99q

Short Answer

Expert verified

Simplified form of multiplications of rational expressions is3q2q2+q-6脳q2-99qisq(q-3)3(q-2),q鈮�2.

Step by step solution

01

. Given information

Here given expressions are 3q2q2+q-6andq2-99q.

We have to multiply the given rational expressions

02

. Explaining the multiplications of rational expressions 

Simplify the multiplication of the given rational expressions , we need to factor the numerator and denominator separately and multiply numerators and denominators .After that to simplify divide out the common factors .

03

. Multiplication of rational expression

When we rational multiplication ,the simplified form of the multiplied given expression is3q2q2+q-6脳q2-99q=3q2(q+3)(q-2)脳(q+3)(q-3)9q=3q2脳(q+3)(q-3)(q+3)(q-2)脳9q=q(q-3)3(q-2),q鈮�2tosimplifydivideoutthecommonfactors.

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