Question

fractorise 3(2x-y)²+14(2x-y)+8

Answer 1

let 2x-y =a
now put a in place of 2x-y
3a^2+14a+8
3a^2+12a+2a+8
3a(a+4) +2(a+4)
(a+4)(3a+2)
now put value of a
(2x-y+4)(3(2x-y)+2)
(2x-y+4)(6x-3y+2)

Answer 2

Heya user ,
Here is your answer !!

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3 ( 2x-y )²+ 14 (2x-y) + 8
Let ( 2x - y ) be a .

So , 3a² + 14a + 8
= 3a² + 12a + 2a + 8
= 3a ( a + 4 ) + 2 ( a + 4 )
= ( 3a + 2 ) ( a + 4 )

Now , putting the value of a , we get ,
{ 3 * ( 2x - y ) + 2 } { ( 2x - y ) + 4 }
= ( 6x - 3y + 2 ) ( 2x - y + 4 ) [ Answer ] .

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Hope it helps !!