Question

x(6x-5y)-4(6x-5y)^2
factorise it

Answer 1

x(6x - 5y) - 4(6x-5y)^2 

(6x - 5y) is a factor, so 

(6x - 5y)[x - 4(6x - 5y)] 

(6x - 5y)[x - 24x + 20y] 

(6x - 5y)(20y - 23x)

x(6x - 5y) - 4(6x - 5y)^2 

let 

z = 6x - 5y 

xz - 4z^2 
-4z^2 + xz 
-z(4z - x) 
sub back in for z 
-(6x - 5y)[4(6x - 5y) - x] 
-(6x - 5y)(24x - 20y - x) 
-(6x - 5y)(23x - 20y)

Answer 2

Hi friend
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Your answer
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★ FACTORISATION
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x(6x - 5y) - 4(6x - 5y)²

=> (6x - 5y)[ x - 4(6x - 5y)]

=> (6x - 5y)(x - 24x + 20y)

=> (6x - 5y)(- 23x + 20y)

HOPE IT HELPS