Question

Factorise the following expressions: 1)48a2 - 243b2

Answer 1

48a² - 243b²

= 3 (16a² - 81b²)

= 3( 4a + 9b ) ( 4a - 9b)

Answer: 3( 4a + 9b ) ( 4a - 9b)

Answer 2

We know, x^2 - y^2 = ( x + y )( x - y ) [ x and y are the variables only ]

Applying formula, we get,

⇒ 3 ( 16a^2 - 81b^2 )

⇒ 3 [ ( 4a )^2 - ( 9b )^2 ]

⇒ ( 3 ) ( 4a - 9b )( 4a + 9b )

⇒ 3( 4a - 9b )( 4a + 9b )