Question icon
Grade 109 grade maths

Factorise ( x2 − 2x )2 −11( x2 - 2x ) + 24
Whats the answer?
Urgent
I will approve you.:d

Profile image of Vasanth Bhaskara
11 Years agoGrade 10
Answers icon

1 Answer

Profile image of Archith Sudheendra
ApprovedApproved Tutor Answer11 Years ago
LET X2-2X= a
(a)2-11(a) +24
a2 – 11a +24
by splitting the middle term
a2-8a-3a + 24
a(a-8) -3(a-8)
(a-3)(a-8)
substitute a
(x2-2x-3) (x2-2x-8)
splitting the middle term
(x2-3x+x-3) (x2-4x+2x-8)
x(x-3) + 1(x-3) * x(x-4) + 2(x-4)
(x+1)(x-3)(x+2)(x-4)