Chapter 8: Q 116. (page 931)

Divide Rational Expressions: $\frac{2 m^{2} - 98 n^{2}}{2 m + 6} \div (m^{2} - 7 m n)$

Short Answer

Expert verified

The required answer is $\frac{m + 7 n}{(m + 3) m}$ .

Step by step solution

Step 1. Given information.

The given expression is $\frac{2 m^{2} - 98 n^{2}}{2 m + 6} \div (m^{2} - 7 m n)$

Step 2. Simplify the expression.

$\frac{2 m^{2} - 98 n^{2}}{2 m + 6} \div (m^{2} - 7 m n) = \frac{\frac{2 m^{2} - 98 n^{2}}{2 m + 6}}{m^{2} - 7 m n}$

Apply the fraction rule.

$\frac{2 m^{2} - 98 n^{2}}{(2 m + 6) (m^{2} - 7 m n)} = \frac{2 (m + 7 n) (m - 7 n)}{2 (m + 3) (m^{2} - 7 m n)} = \frac{(m + 7 n) (m - 7 n)}{(m + 3) (m^{2} - 7 m n)} = \frac{(m + 7 n) (m - 7 n)}{(m + 3) m (m - 7 n)} = \frac{m + 7 n}{(m + 3) m}$

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Divide Rational Expressions: $\frac{2 m^{2} - 98 n^{2}}{2 m + 6} \div (m^{2} - 7 m n)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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Divide Rational Expressions:2m2 − 98n22m + 6÷m2 − 7mn

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

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Divide Rational Expressions: $\frac{2 m^{2} - 98 n^{2}}{2 m + 6} \div (m^{2} - 7 m n)$