Advertisements
Advertisements
Question
Factorise the following expression:
x2yz + xy2z + xyz2
Sum
Solution
x2yz = x × x × y × z
xy2z = x × y × y × z
xyz2 = x × y × z × z
The common factors are x, y, and z.
∴ x2yz + xy2z + xyz2
= (x × x × y × z) + (x × y × y × z) + (x × y × z × z)
= x × y × z [x + y + z]
= xyz (x + y + z)
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
12x, 36
Factorize the following:
20a12b2 − 15a8b4
Factorize the following:
20x3 − 40x2 + 80x
Factorise : a - b - 4a2 + 4b2
Factorise : 6x2y + 9xy2 + 4y3
Factorise : 2b (2a + b) - 3c (2a + b)
Factorise: x4 - 5x2 - 36
Factorise the following by taking out the common factors:
2a(p2 + q2) + 4b(p2 + q2)
Factorise the following by taking out the common factors:
81(p + q)2 -9p - 9q
Factorise:
`y^2 + (1)/(4y^2) + 1 - 6y - (3)/y`
