Advertisements
Advertisements
Question
Factorise the following expression:
5x2y − 15xy2
Sum
Advertisements
Solution
5x2y = 5 × x × x × y
15xy2 = 3 × 5 × x × y × y
The common factors are 5, x, and y.
∴ 5x2y − 15xy2 = (5 × x × x × y) − (3 × 5 × x × y × y)
= 5 × x × y [x − (3 × y)]
= 5xy (x − 3y)
shaalaa.com
Is there an error in this question or solution?
Chapter 12: Factorisation - EXERCISE 12.1 [Page 148]
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
10pq, 20qr, 30rp
Factorize the following:
5x − 15x2
Factorise by taking out the common factors :
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)
Factorise:
(2a - 3)2 - 2 (2a - 3) (a - 1) + (a - 1)2
Factorise : (a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)2
Factorise: 6xy(a2 + b2) + 8yz(a2 + b2) −10xz(a2 + b2)
factorise : 8(2a + 3b)3 - 12(2a + 3b)2
factorise : (ax + by)2 + (bx - ay)2
Factorise: a2 - 0·36 b2
Factorise the following by taking out the common factors:
2a(p2 + q2) + 4b(p2 + q2)
