Advertisements
Advertisements
प्रश्न
Factorise : 2(ab + cd) - a2 - b2 + c2 + d2
Advertisements
उत्तर
2(ab + cd) - a2 - b2 + c2 + d2
= 2ab + 2cd - a2 - b2 + c2 + d2
= c2 + d2 + 2cd - a2 - b2 + 2ab
= ( c2 + d2 + 2cd ) - ( a2 + b2 - 2ab )
= ( c + d )2 - ( a - b )2
= ( c + d + a - b )( c + d - a + b )
APPEARS IN
संबंधित प्रश्न
Find the common factors of the terms.
16x3, −4x2, 32x
Factorise the following expression:
− 4a2 + 4ab − 4 ca
Factorise.
ax + bx − ay − by
Factorize the following:
20a12b2 − 15a8b4
Factorize the following:
20x3 − 40x2 + 80x
Factorize the following:
28a2 + 14a2b2 − 21a4
Factorize the following:
2l2mn - 3lm2n + 4lmn2
Factorize the following:
x4y2 − x2y4 − x4y4
Factorize the following:
16m − 4m2
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:
`x^4 + y^4 - 27x^2y^2`
Factorise : 4x4 + 9y4 + 11x2y2
Factorise : 2√3x2 + x - 5√3
Find the value of : ( 987 )2 - (13)2
Find the value of : `[(6.7)^2 - (3.3)^2]/[6.7 - 3.3]`
Factorise : 3x2 + 6x3
Factorise : x2(a-b)-y2 (a-b)+z2(a-b)
Factorise: 36x2y2 - 30x3y3 + 48x3y2
factorise : a2 - ab - 3a + 3b
factorise : xy2 + (x - 1) y - 1
factorise : m - 1 - (m-1)2 + am - a
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:
2a(p2 + q2) + 4b(p2 + q2)
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
Factorise:
`"p"^2 + (1)/"p"^2 - 3`
Factorise the following by taking out the common factor
9x5y3 + 6x3y2 – 18x2y
