Advertisements
Advertisements
Question
Factorise the following expression:
x2yz + xy2z + xyz2
Sum
Advertisements
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.
10pq, 20qr, 30rp
Factorize the following:
9x2y + 3axy
Factorise : (a2 - a) (4a2 - 4a - 5) - 6
Factorise:
5a2 - b2 - 4ab + 7a - 7b
Factorise : 6x2y + 9xy2 + 4y3
Factorise : 17a6b8 - 34a4b6 + 51a2b4
Factorise:
a2 – ab(1 – b) – b3
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)
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
