Advertisements
Advertisements
Question
factorise: (2a + b)2 + 5(2a + b) + 6
Sum
Advertisements
Solution
(2a + b)2 + 5(2a + b) + 6
Let (2a + b) = x
(2a + b)2 = x2
(2a + b)2 + 5 (2a + b) + 6
= x2 + 5x + 6
= x2 + 3x + 2x + 6
= x(x + 3)+2(x + 3)
= (x + 3)(x + 2)
= (2a + b + 3)(2a + b + 2)
(Substituting the value of x)
shaalaa.com
Factorisation by Grouping
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Factorise : a3 -a2 +a -1
Factorise : - x2y - x + 3xy + 3
factorise: 2x2 + xy - 6y2
factorise: 5 + 7x - 6x2
factorise: 5 + 3a - 14a2
factorise: (3x - 2y)2 - 5(3x - 2y) - 24
factorise: 1 - 3x - 3y - 4(x + y)2
Factorise the following by grouping the terms:
9 + 3xy + x2y + 3x
Factorise the following by grouping the terms:
2m3 - 5n2 - 5m2n + 2mn
Factorise the following by grouping the terms:
x + y + m(x + y)
