Advertisements
Advertisements
Question
Factorise the following by taking out the common factors:
2a(p2 + q2) + 4b(p2 + q2)
Advertisements
Solution
2a(p2 + q2) + 4b(p2 + q2)
Here, the common factor is 2(p2 + q2)
Dividing throughtout by 2(p2 + q2), we get
`(2"a"("p"^2 + "q"^2))/(2("p"^2 + "q"^2)) + (4"b"("p"^2 + "q"^2))/(2("p"^2 + "q"^2)`
= a + 2b
∴ 2a(p2 + q2) + 4b(p2 + q2)
= 2(p2 + q2)(a + 2b).
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
14pq, 28p2q2
Find the common factors of the terms.
2x, 3x2, 4
Factorise.
x2 + xy + 8x + 8y
Factorise.
15pq + 15 + 9q + 25p
Factorize the following:
20x3 − 40x2 + 80x
Factorize the following:
x4y2 − x2y4 − x4y4
Factorize the following:
9x2y + 3axy
Factories by taking out common factors :
xy(3x2 - 2y2) - yz(2y2 - 3x2) + zx(15x2 - 10y2)
Factorise : `x^2 + [a^2 + 1]/a x + 1`
Factorise : 3 - 5x + 5y - 12(x - y)2
Factorise : 2√3x2 + x - 5√3
Factorise : `1/4 ( a + b )^2 - 9/16 ( 2a - b )^2`
Find the value of : ( 987 )2 - (13)2
Find the value of : `[(18.5)^2 - (6.5)^2]/[18.5 + 6.5]`
Factorise : a3 - a2 +a
Factorise : 3x2 + 6x3
Factorise : 2x3b2 - 4x5b4
Factorise : a3b - a2b2 - b3
Factorise : (x + y)(a + b) + (x - y)(a + b)
factorise : 8(2a + 3b)3 - 12(2a + 3b)2
Factorise:
a2 – ab(1 – b) – b3
factorise : m - 1 - (m-1)2 + am - a
Factorise: x4 - 5x2 - 36
Factorise the following by taking out the common factors:
5a(x2 - y2) + 35b(x2 - y2)
Factorise the following by taking out the common factors:
(a - b)2 -2(a - b)
Factorise the following by taking out the common factors:
p(p2 + q2 - r2) + q(r2 - q2 -p2) - r(p2 + q2 - r2)
Factorise:
x4 + y4 - 6x2y2
Factorise:
`"p"^2 + (1)/"p"^2 - 3`
