Advertisements
Advertisements
Question
Factorise: a4 - 625
Advertisements
Solution
a4 - 625
= (a2)2 - (25)2
= (a2 + 25) (a2 - 25) ....[a2 - b2 = (a + b)(a - b)]
= (a2 + 25) {(a)2 - (5)2}
= (a2 + 25) (a + 5)(a - 5)
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
2y, 22xy
Find the common factors of the terms.
16x3, −4x2, 32x
Factorise the following expression:
10a2 − 15b2 + 20c2
Factorize the following:
28a2 + 14a2b2 − 21a4
Factorize the following:
a4b − 3a2b2 − 6ab3
Factorize the following:
16m − 4m2
Factorise:
`x^2 + 1/(4x^2) + 1 - 7x - 7/(2x)`
Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`
Factorise : `x^2 + 1/x^2 - 3`
Factorise : (a2 - 3a) (a2 - 3a + 7) + 10
Factorise : `1/4 ( a + b )^2 - 9/16 ( 2a - b )^2`
Factorise : 2x3b2 - 4x5b4
Factorise : 15x4y3 - 20x3y
Factorise : (a+ 2b) (3a + b) - (a+ b) (a+ 2b) +(a+ 2b)2
Factorise: 36x2y2 - 30x3y3 + 48x3y2
Factorise the following by taking out the common factors:
5a(x2 - y2) + 35b(x2 - y2)
Factorise:
`y^2 + (1)/(4y^2) + 1 - 6y - (3)/y`
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
