Advertisements
Advertisements
Question
factorise: (x - 2y)2 - 12(x - 2y) + 32
Sum
Advertisements
Solution
(x - 2y)2 - 12(x - 2y) + 32
Let (x - 2y) = a
∴ (x - 2y)2 = a2
∴ (x - 2y)2 - 12(x - 2y) + 32
= a2 - 12a + 32
= a2 - 8a - 4a + 32
= a(a - 8) - 4 (a - 8)
= (a - 8)(a - 4)
= (x - 2y - 8)(x - 2y - 4)
(Substituting the value of a)
shaalaa.com
Factorisation by Grouping
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise by the grouping method : a3 + a - 3a2 - 3
Factorise : 3x5 - 6x4 - 2x3 + 4x2 + x - 2
Factorise : ab2 - (a - c) b - c
Factorise: 7b2 - 8b + 1
factorise: 6 + 7b - 3b2
factorise: x(3x + 14) + 8
factorise: 15(5x - 4)2 - 10(5x - 4)
factorise: b(c - d)2 + a(d - c) + 3(c - d)
Factorise the following by grouping the terms:
15x2 + 7y - 3x - 35xy
Factorise the following by grouping the terms:
2m3 - 5n2 - 5m2n + 2mn
