Advertisements
Advertisements
प्रश्न
Factorise the following by taking out the common factors:
(mx + ny)2 + (nx - my)2
Advertisements
उत्तर
(mx + ny)2 + (nx - my)2
= m2x2 + n2y2 + 2mnxy + n2x2 + m2y2 - 2mnxy
= m2x2 + n2y2 + n2x2 + m2y2
= m2x2 + n2x2 + m2y2 + n2y2
= x2(m2 + n2) + y2(m2 + n2)
Here, the common factor is (m2 + n2).
Dividing throughout by (m2 + n2), we get
`(x^2("m"^2 + "n"^2))/(("m"^2 + "n"^2)) + (y^2("m"^2 + "n"^2))/(("m"^2 + "n"^2)`
= x2 + y2
∴ (mx + ny)2 + (nx - my)2
= (m2 + n2)(x2 + y2).
APPEARS IN
संबंधित प्रश्न
Find the common factors of the terms.
16x3, −4x2, 32x
Find the common factors of the terms.
3x2y3, 10x3y2, 6x2y2z
Factorise the following expression:
7a2 + 14a
Factorise.
x2 + xy + 8x + 8y
Factorise.
15pq + 15 + 9q + 25p
Factorise.
z − 7 + 7xy − xyz
Factorize the following:
2a4b4 − 3a3b5 + 4a2b5
Factorize the following:
a4b − 3a2b2 − 6ab3
Factorize the following:
x2yz + xy2z + xyz2
Factorise by taking out the common factors :
2 (2x - 5y) (3x + 4y) - 6 (2x - 5y) (x - y)
Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`
Factorise : `x^2 + [a^2 + 1]/a x + 1`
Factorise : (a2 - a) (4a2 - 4a - 5) - 6
Factorise: x4 + y4 - 3x2y2
Factorise : 15x4y3 - 20x3y
Factorise : a3b - a2b2 - b3
Factorise : (a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)2
factorise : 6x3 - 8x2
Factorise: 36x2y2 - 30x3y3 + 48x3y2
factorise : a2 - ab - 3a + 3b
Factorise xy2 - xz2, Hence, find the value of :
9 x 82 - 9 x 22
Factorise xy2 - xz2, Hence, find the value of :
40 x 5.52 - 40 x 4.52
Factorise the following by taking out the common factors:
5a(x2 - y2) + 35b(x2 - y2)
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Factorise the following by taking out the common factors:
36(x + y)3 - 54(x + y)2
Factorise:
x4 + y4 - 6x2y2
Factorise:
4x4 + 25y4 + 19x2y2
Factorise:
5x2 - y2 - 4xy + 3x - 3y
