Factorise: 8(2a+3b)^3-12(2a+3b)^2
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Answered by
70
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)
=> 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)
Answered by
35
hy.
here is your answer
✨✨✨✨✨✨✨✨✨
➡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)
✨✨✨✨✨✨✨✨✨✨
here is your answer
✨✨✨✨✨✨✨✨✨
➡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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