Chapter 8: Q 101. (page 930)

Divide Rational Expressions: $\frac{27 y^{2}}{3 y - 21} \div \frac{3 y^{2} + 18}{y^{2} + 13 y + 42}$ .

Short Answer

Expert verified

The required answer is $\frac{3 y^{2} (y^{2} + 13 y + 42)}{(y - 7) (y^{2} + 6)}$ .

Step by step solution

Step 1. Given information.

The given expression is $\frac{27 y^{2}}{3 y - 21} \div \frac{3 y^{2} + 18}{y^{2} + 13 y + 42}$ .

Step 2. Simplify the expression.

$\frac{27 y^{2}}{3 y - 21} \div \frac{3 y^{2} + 18}{y^{2} + 13 y + 42} \frac{\frac{27 y^{2}}{3 y - 21}}{\frac{3 y^{2} + 18}{y^{2} + 13 y + 42}}$

Apply the fraction rule.

$= \frac{27 y^{2} (y^{2} + 13 y + 42)}{(3 y - 21) (3 y^{2} + 18)} = \frac{3 y^{2} (y^{2} + 13 y + 42)}{(y - 7) (y^{2} + 6)}$

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Divide Rational Expressions: $\frac{27 y^{2}}{3 y - 21} \div \frac{3 y^{2} + 18}{y^{2} + 13 y + 42}$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Simplify the expression.

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Divide Rational Expressions:27y23y − 21 ÷3y2+18y2+13y+42.

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: $\frac{27 y^{2}}{3 y - 21} \div \frac{3 y^{2} + 18}{y^{2} + 13 y + 42}$ .