Advertisements
Advertisements
Question
Factorise the following by taking out the common factors:
2x5y + 8x3y2 - 12x2y3
Solution
2x5y + 8x3y2 - 12x2y3
Here, the common factor is 2x2y.
Dividing throughout by 2x2y, we get
`(2x^5y)/(2x^2y) + (8X^3y^2)/(2x^2y) - (12x^2y^3)/(2x^2y)`
= x3 + 4xy - 6y2
∴ 2x5y + 8x3y2 - 12x2y3
= 2x2y(x3 + 4xy - 6y2).
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
12x, 36
Find the common factors of the terms.
6 abc, 24ab2, 12a2b
Find the common factors of the terms.
3x2y3, 10x3y2, 6x2y2z
Factorise the following expression:
−16z + 20z3
Factorise the following expression:
20 l2m + 30 alm
Factorise the following expression:
− 4a2 + 4ab − 4 ca
Factorise.
ax + bx − ay − by
Factorize the following:
72x6y7 − 96x7y6
Factorize the following:
2l2mn - 3lm2n + 4lmn2
Factorize the following:
ax2y + bxy2 + cxyz
Factories by taking out common factors :
ab(a2 + b2 - c2) - bc(c2 - a2 - b2) + ca(a2 + b2 - c2)
Factorise : `x^2 + [a^2 + 1]/a x + 1`
Factorise : 4x4 + 9y4 + 11x2y2
Factorise : 12(3x - 2y)2 - 3x + 2y - 1
Factorise : 3 - 5x + 5y - 12(x - y)2
Factorise : 9x 2 + 3x - 8y - 64y2
Factorise : `1/4 ( a + b )^2 - 9/16 ( 2a - b )^2`
Find the value of : ( 987 )2 - (13)2
Find the value of : ( 67.8 )2 - ( 32.2 )2
Factorise : 15x + 5
Factorise : 3x2 + 6x3
Factorise : 2x3b2 - 4x5b4
Factorise : (a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)2
Factorise: 6xy(a2 + b2) + 8yz(a2 + b2) −10xz(a2 + b2)
factorise : xy2 + (x - 1) y - 1
factorise : ab(x2 + y2) - xy (a2 + b2)
Factorise the following by taking out the common factors:
36(x + y)3 - 54(x + y)2
