Advertisements
Advertisements
Question
Factorise the following by grouping the terms:
xy(a2 + 1) + a(x2 + y2)
Sum
Solution
xy(a2 + 1) + a(x2 + y2)
= a2xy + xy + ax2 + ay2
= (a2xy + ax2) + (ay2 + xy)
= ax(ay + x) + y(ay + x)
= (ay + x)(ax + y).
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 by the grouping method : a2 + b - ab - a
Factorise by the grouping method : a2x2 + (ax2 + 1) x + a
factorise: 2a2 + 7a + 6
factorise: 3a2 - 5a + 2
factorise: 14x2 + x - 3
factorise: (2a + b)2 + 5(2a + b) + 6
factorise: (x - 2y)2 - 12(x - 2y) + 32
Factorise the following by grouping the terms:
2m3 - 5n2 - 5m2n + 2mn
Factorise the following by grouping the terms:
9x3 + 6x2y2 - 4y3 - 6xy
