Advertisements
Advertisements
प्रश्न
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Advertisements
उत्तर
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
संबंधित प्रश्न
Find the common factors of the terms.
16x3, −4x2, 32x
Factorise.
15pq + 15 + 9q + 25p
Factorise.
z − 7 + 7xy − xyz
Factorize the following:
72x6y7 − 96x7y6
Factorize the following:
−4a2 + 4ab − 4ca
Factorize the following:
x2yz + xy2z + xyz2
Factorise by taking out the common factors :
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)
Factories by taking out common factors :
xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)
Factories by taking out common factors :
ab(a2 + b2 - c2) - bc(c2 - a2 - b2) + ca(a2 + b2 - c2)
Factorise:
`x^2 + 1/(4x^2) + 1 - 7x - 7/(2x)`
Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`
Factorise : a - b - 4a2 + 4b2
Factorise:
5a2 - b2 - 4ab + 7a - 7b
Factorise : 2(ab + cd) - a2 - b2 + c2 + d2
Find the value of : ( 987 )2 - (13)2
Find the value of : `[(6.7)^2 - (3.3)^2]/[6.7 - 3.3]`
Factorise : 15x4y3 - 20x3y
Factorise : 6x2y + 9xy2 + 4y3
Factorise : 2b (2a + b) - 3c (2a + b)
Factorise : 4x(3x - 2y) - 2y(3x - 2y)
factorise : a2 - ab - 3a + 3b
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:
12a3 + 15a2b - 21ab2
Factorise the following by taking out the common factors:
2a(p2 + q2) + 4b(p2 + q2)
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
Factorise:
x4 + y4 - 6x2y2
