Advertisements
Advertisements
Question
Factorise the following by taking out the common factors:
(a - b)2 -2(a - b)
Advertisements
Solution
(a - b)2 -2(a - b)
Here, the common factor is (a - b).
Dividing throughout by (a - b), we get
`("a" - "b")^2/("a" - "b") - (2("a" - "b"))/("a" - "b")`
= a - b - 2
∴ (a - b)2 - 2(a - b)
= (a - b)(a - b - 2).
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
14pq, 28p2q2
Factorise the following expression:
−16z + 20z3
Factorise the following expression:
20 l2m + 30 alm
Factorise the following expression:
5x2y − 15xy2
Factorise the following expression:
− 4a2 + 4ab − 4 ca
Factorise.
x2 + xy + 8x + 8y
Factorise.
15xy − 6x + 5y − 2
Factorize the following:
72x6y7 − 96x7y6
Factorize the following:
20x3 − 40x2 + 80x
Factorize the following:
−4a2 + 4ab − 4ca
Factorize the following:
ax2y + bxy2 + cxyz
Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`
Factorise:
(2a - 3)2 - 2 (2a - 3) (a - 1) + (a - 1)2
Factorise : 4(2x - 3y)2 - 8x+12y - 3
Find the value of : ( 987 )2 - (13)2
Find the value of : `[(18.5)^2 - (6.5)^2]/[18.5 + 6.5]`
Factorise : 3x2 + 6x3
Factorise : 15x4y3 - 20x3y
Factorise : 6x2y + 9xy2 + 4y3
Factorise : 17a6b8 - 34a4b6 + 51a2b4
Factorise : 12abc - 6a2b2c2 + 3a3b3c3
Factorise : (a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)2
Factorise: 6xy(a2 + b2) + 8yz(a2 + b2) −10xz(a2 + b2)
Factorise: 36x2y2 - 30x3y3 + 48x3y2
Factorise xy2 - xz2, Hence, find the value of :
9 x 82 - 9 x 22
Factorise the following by taking out the common factors:
12a3 + 15a2b - 21ab2
Factorise the following by taking out the common factors:
p(p2 + q2 - r2) + q(r2 - q2 -p2) - r(p2 + q2 - r2)
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
Factorise:
`"p"^2 + (1)/"p"^2 - 3`
