Advertisements
Advertisements
Question
Factorise the following by taking out the common factors:
12a3 + 15a2b - 21ab2
Advertisements
Solution
12a3 + 15a2b - 21ab2
Here, the common factor is 3a.
Dividing throughout by 3a, we get
`(12"a"^3)/(3"a") + (15"a"^2"b")/(3"a") - (21"ab"^2)/(3"a")`
= 4a2 + 5ab - 7b2
∴ 12a3 + 15a2b - 21ab2
= 3a(4a2 + 5ab - 7b2).
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
2y, 22xy
Find the common factors of the terms.
14pq, 28p2q2
Factorise the following expression:
5x2y − 15xy2
Factorise the following expression:
10a2 − 15b2 + 20c2
Factorize the following:
20x3 − 40x2 + 80x
Factorize the following:
2l2mn - 3lm2n + 4lmn2
Factorize the following:
9x2y + 3axy
Factorize the following:
−4a2 + 4ab − 4ca
Factories by taking out common factors :
xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)
Factories by taking out common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)
Factorise : 4x4 + 9y4 + 11x2y2
Factorise : `x^2 + 1/x^2 - 3`
Factorise : a - b - 4a2 + 4b2
Factorise : 12(3x - 2y)2 - 3x + 2y - 1
Factorise : 2(ab + cd) - a2 - b2 + c2 + d2
Find the value of : ( 987 )2 - (13)2
Find the value of : `[(6.7)^2 - (3.3)^2]/[6.7 - 3.3]`
Factorise : a3 - a2 +a
Factorise : 4a2 - 8ab
factorise:
9a (x − 2y)4 − 12a (x − 2y)3
factorise : a2 - ab - 3a + 3b
factorise : xy2 + (x - 1) y - 1
factorise : ab(x2 + y2) - xy (a2 + b2)
Factorise the following by taking out the common factors:
5a(x2 - y2) + 35b(x2 - y2)
Factorise the following by taking out the common factors:
81(p + q)2 -9p - 9q
Factorise the following by taking out the common factors:
(mx + ny)2 + (nx - my)2
Factorise the following by taking out the common factors:
36(x + y)3 - 54(x + y)2
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
