8a²-18m² factorise by first taking out the common factor and then applying the identity a²-b²?

June 2023 1 6 Report

8a²-18m²
factorise by first taking out the common factor and then applying the identity a²-b²?

Answer:

8a²-18m² = 2 (2a - 3m) (2a + 3m)

Step-by-step explanation:

Identity applying : a²-b² = ( a - b)(a + b)

Given: 8a²-18m²

Solve by using identity

8a²-18m²

Take common 2

= 2 (4a²- 9m²)

Put in a²-b² form

= 2 [(2a)²- (3m)²]

Use identity for solving

= 2 (2a - 3m) (2a + 3m) [∵ a²-b² = ( a - b)(a + b)]

So, 8a²-18m² = 2 (2a - 3m) (2a + 3m)