Advertisements
Advertisements
प्रश्न
factorise : (ax + by)2 + (bx - ay)2
Advertisements
उत्तर
(ax + by)2 + (bx - ay)2
= (ax)2 + 2 × ax × by + (by)2 + (bx)2 - 2 × bx × ay + (ay)2
= a2x2 + 2abxy + b2y2 + b2x2 - 2abxy + a2y2
= a2x2 + `cancel(2 "abxy")` + b2y2 + b2x2 - `cancel(2" abxy")` + a2y2
= a2x2 + b2y2 + b2x2 + a2y2
= a2x2 + a2y2 + b2x2 + b2y2
= a2 (x2 + y2) + b2(x2 + y2)
= (x2 + y2)(a2 + b2)
APPEARS IN
संबंधित प्रश्न
Find the common factors of the terms.
12x, 36
Find the common factors of the terms.
16x3, −4x2, 32x
Factorise the following expression:
− 4a2 + 4ab − 4 ca
Factorize the following:
20a12b2 − 15a8b4
Factorize the following:
a4b − 3a2b2 − 6ab3
Factories by taking out common factors :
xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)
Factories by taking out common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)
Factorise : a - b - 4a2 + 4b2
Factorise: x4 + y4 - 3x2y2
Find the value of : `[(6.7)^2 - (3.3)^2]/[6.7 - 3.3]`
Factorise : a3 - a2 +a
Factorise : (a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)2
Factorise: 6xy(a2 + b2) + 8yz(a2 + b2) −10xz(a2 + b2)
Factorise the following by taking out the common factors:
2x5y + 8x3y2 - 12x2y3
Factorise the following by taking out the common factors:
81(p + q)2 -9p - 9q
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
Factorise:
4x4 + 25y4 + 19x2y2
Factorise:
`"p"^2 + (1)/"p"^2 - 3`
