Question

Determine the linear factors for p3q - pq.
A) pq(p + 1)(p - 1)
B) pq(p - 1)(p - 1)
C) pq(p2 - 1)
D) pq(p2 + 1)

Answer 1

The right answer is Option A: pq(p+1)(p-1)

Step-by-step explanation:

Given expression is

$p^3q-pq$

Taking pq common from the expression

$pq(p^2-1)$

We know that;

$a^2-b^2=(a+b)(a-b)$

Here;

$a^2 = p^2\\b^2 = 1^2$

Therefore;

$p^2-1=(p+1)(p-1)$

Thus, the expression becomes

$pq(p+1)(p-1)$

The linear factors of $p^3q-pq$ are pq(p+1)(p-1)

The right answer is Option A: pq(p+1)(p-1)

Keywords: linear factors, common terms

Learn more about linear factors at:

• brainly.com/question/10754198
• brainly.com/question/10771256

#LearnwithBrainly

Answer 2

Answer: The right answer is Option A)

Step-by-step explanation: A  I saw it on usatesprep