Question

Factorise: 8(2a+3b)^3-12(2a+3b)^2

Answer 1

Let (2a +3b) = x

=> 8x^3 - 12x^2

=> 4x^2 [ 2x - 3]

=> 4 ( 2a + 3b) (2a +3b) [ 2(2a + 3b) - 3]

=> 4 ( 2a + 3b) (2a +3b) ( 4a + 6b - 3)

Answer 2

hy.
here is your answer
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➡let, x= 2a+3b 

➡now, 

➡8x³-12x²

➡4x²(2x-3) 

➡4(2a+3b)²{2(2a+3b)-3} [putting value of x ] 

➡4(2a+3b)²(4a+6b-3) 


➡4(2a+3b)(2a+3b)(4a+6b-3)
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