Advertisements
Advertisements
Question
Factorise : 12(3x - 2y)2 - 3x + 2y - 1
Solution
12(3x - 2y)2 - 3x + 2y - 1 = 12( 3x - 2y )2 - ( 3x - 2y ) - 1
Let us assume that 3x - 2y = a
Then the given expression is
3x - 2y = a
12a2 - a - 1
12a2 - (4 - 3) a -1
12a2 - 4a + 3a - 1
4a (3a - 1) + 1 (3a - 1)
(3a - 1) (4a + 1)
[3(3x 2y) - 1] [4x (3x - 2y + 1)]
(9x - 6y - 1) (12x - 8y + 1)
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
14pq, 28p2q2
Find the common factors of the terms.
2x, 3x2, 4
Find the common factors of the terms.
16x3, −4x2, 32x
Factorise the following expression:
−16z + 20z3
Factorise the following expression:
5x2y − 15xy2
Factorize the following:
20a12b2 − 15a8b4
Factories by taking out common factors :
ab(a2 + b2 - c2) - bc(c2 - a2 - b2) + ca(a2 + b2 - c2)
Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`
Factorise : `x^2 + [a^2 + 1]/a x + 1`
Factorise:
`x^4 + y^4 - 27x^2y^2`
Factorise : 2√3x2 + x - 5√3
Factorise : a3 - a2 +a
Factorise : 6x2y + 9xy2 + 4y3
Factorise : x2(a-b)-y2 (a-b)+z2(a-b)
factorise : 35a3b2c + 42ab2c2
Factorise: 36x2y2 - 30x3y3 + 48x3y2
factorise : 8(2a + 3b)3 - 12(2a + 3b)2
factorise:
9a (x − 2y)4 − 12a (x − 2y)3
factorise : x2y - xy2 + 5x - 5y
factorise : (ax + by)2 + (bx - ay)2
factorise : m - 1 - (m-1)2 + am - a
Factorise: a4 - 625
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")`
Factorise:
5x2 - y2 - 4xy + 3x - 3y
