Chapter 6: Q. 6.84 (page 611)

Factor completely: $6 p q^{2} - 9 p q - 6 p$

Short Answer

Expert verified

The required factors are $3 (q - 2) (2 p q + p)$

Step by step solution

Step 1. Given Information

The given expression is $6 p q^{2} - 9 p q - 6 p$

Step 2. Calculation

We will factor the expression by taking the common factor outside the paranthesis and then use the middle term splitting method.

$6 p q^{2} - 9 p q - 6 p = 3 [2 p q^{2} - 3 p q - 2 p] = 3 [2 p q^{2} - 4 p q + p q - 2 p] = 3 [2 p q (q - 2) + p (q - 2)] = 3 (q - 2) (2 p q + p)$

Step 3. Check

We will verify by multiplying the factors.

$3 (q - 2) (2 p q + p) = 3 [2 p q (q - 2) + p (q - 2)] = 3 [2 p q^{2} - 4 p q + p q - 2 p] = 3 [2 p q^{2} - 3 p q - 2 p] = 6 p q^{2} - 9 p q - 6 p$

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Factor completely: $6 p q^{2} - 9 p q - 6 p$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Check

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Factor completely:6pq2-9pq-6p

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Calculation

Step 3. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Calculus

Discrete Mathematics

Geometry

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Factor completely: $6 p q^{2} - 9 p q - 6 p$