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
Factories by taking out common factors :
xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)
Factorise : `x^2 + 1/x^2 - 3`
Factorise: x4 + y4 - 3x2y2
Factorise : 2√3x2 + x - 5√3
Factorise : a3 - a2 +a
Factorise : 6x2y + 9xy2 + 4y3
Factorise : 17a6b8 - 34a4b6 + 51a2b4
factorise : a2 - ab - 3a + 3b
Factorise the following by taking out the common factors:
4x2y3 - 6x3y2 - 12xy2
Factorise the following by taking out the common factors:
5a(x2 - y2) + 35b(x2 - y2)
