Question

Factorize: 18a2 – 9ab + 8ab – 4b2 .​

Answer 1

Answer:

Step-by-step explanation:

18a² - 9ab + 8ab -4b² = 9a (2a - b) +4b (2a - b)

                                   =( 9a + 4b ) (2a - b )

Answer 2

18a² - 9ab + 8ab - 4b² = ( 2a - b ) ( 9a + 4b )

Given : 18a² - 9ab + 8ab - 4b²

To find : To factorise

Solution :

Step 1 of 3 :

Write down the given expression

The given expression is

18a² - 9ab + 8ab - 4b²

Step 2 of 3 :

Simplify the given expression

18a² - 9ab + 8ab - 4b²

= 18a² - ab - 4b²

Step 3 of 3 :

Factorise the given expression

18a² - 9ab + 8ab - 4b²

= 18a² - ab - 4b²

= 18a² - ( 9 - 8 ) ab - 4b²

= 18a² - 9ab + 8ab - 4b²

= 9a ( 2a - b ) + 4b ( 2a - b)

= ( 2a - b ) ( 9a + 4b )

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