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Chapter 6: Q. 6.84 (page 611)

Factor completely:6pq2-9pq-6p

Short Answer

Expert verified

The required factors are3(q-2)(2pq+p)

Step by step solution

01

Step 1. Given Information  

The given expression is6pq2-9pq-6p

02

Step 2. Calculation 

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

6pq2-9pq-6p=3[2pq2-3pq-2p]=3[2pq2-4pq+pq-2p]=3[2pq(q-2)+p(q-2)]=3(q-2)(2pq+p)

03

Step 3. Check

We will verify by multiplying the factors.

3(q-2)(2pq+p)=3[2pq(q-2)+p(q-2)]=3[2pq2-4pq+pq-2p]=3[2pq2-3pq-2p]=6pq2-9pq-6p

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