Question

Factorise it ...........

Answer 1

Step-by-step explanation:

(p + 3q )² - (p - 2q)²

By using the identity A² - B² = (A + B) (A - B)

so, (p + 3 q + p -2q ) ( p + 3q - p + 2q)

( 2p + q) ( 5q)

10pq + 5q²

Answer 2

Required Answer:-

Given to factorise:

• (p + 3q)² - (p - 2q)²

Solution:

In this question, we will use the formula a² - b² = (a + b)(a - b) to factorise it.

Note: (p + 3q)² - (p - 2q)² can be expressed in a² - b² form

Here is the solution,

(p + 3q)² - (p - 2q)²

= [ (p + 3q) + (p - 2q) ] [ (p + 3q) - (p - 2q) ]

= [ p + 3q + p - 2q ] [ p + 3q - p + 2q ]

= (2p + q) × 5q

= 5q(2p + q)

Hence, the factorised form is 5q(2p + q)

Answer:

• The factorised form of the given polynomial is 5q(2p + q)