Advertisements
Advertisements
Question
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Advertisements
Solution
24m4n6 + 56m6n4 - 72m2n2
Here, the common factor is 8m2n2
Dividing throughout by 3a, we get
`(24"m"^4"n"^6)/(8"m"^2"n"^2) + (56"m"6"n")/(8"m"^2"n"^2) - (72"m"^2"n"^2)/(8"m"^2"n"^2)`
= 3m2n4 + 7m4n2 - 9
∴ 24m4n6 + 56m6n4 - 72m2n2
= 8m2n2(3m2n4 + 7m4n2 - 9).
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
2y, 22xy
Find the common factors of the terms.
16x3, −4x2, 32x
Factorise the following expression:
20 l2m + 30 alm
Factorise the following expression:
5x2y − 15xy2
Factorise the following expression:
x2yz + xy2z + xyz2
Factorise.
x2 + xy + 8x + 8y
Factorise.
ax + bx − ay − by
Factorize the following:
20x3 − 40x2 + 80x
Factorize the following:
2a4b4 − 3a3b5 + 4a2b5
Factorize the following:
9x2y + 3axy
Factorise by taking out the common factors :
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)
Factorise : `x^2 + 1/x^2 - 3`
Factorise : 12(3x - 2y)2 - 3x + 2y - 1
Factorise : 3 - 5x + 5y - 12(x - y)2
Find the value of : `[(18.5)^2 - (6.5)^2]/[18.5 + 6.5]`
Factorise : 6x2y + 9xy2 + 4y3
Factorise : (x + y)(a + b) + (x - y)(a + b)
Factorise : (a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)2
factorise : 35a3b2c + 42ab2c2
Factorise xy2 - xz2, Hence, find the value of :
9 x 82 - 9 x 22
Factorise the following by taking out the common factors:
4x2y3 - 6x3y2 - 12xy2
Factorise the following by taking out the common factors:
2x5y + 8x3y2 - 12x2y3
Factorise the following by taking out the common factors:
(a - b)2 -2(a - b)
Factorise:
`y^2 + (1)/(4y^2) + 1 - 6y - (3)/y`
Factorise:
5x2 - y2 - 4xy + 3x - 3y
Factorise the following by taking out the common factor
18xy – 12yz
