Advertisements
Advertisements
Question
Factorise:
`x^2 + 1/(4x^2) + 1 - 7x - 7/(2x)`
Advertisements
Solution
`x^2 + 1/(4x^2) + 1 - 7x - 7/(2x)`
= `(x)^2 + 1/(2x)^2 + 2 xx x xx 1/(2x) - 7( x + 1/(2x))`
= `( x + 1/(2x))^2 - 7( x + 1/(2x))`
= `( x + 1/(2x))( x + 1/(2x) - 7)`
APPEARS IN
RELATED QUESTIONS
Find the common factors of the terms.
2x, 3x2, 4
Factorise the following expression:
6p − 12q
Factorise the following expression:
−16z + 20z3
Factorise the following expression:
20 l2m + 30 alm
Factorise the following expression:
5x2y − 15xy2
Factorise.
15pq + 15 + 9q + 25p
Factorize the following:
3x − 9
Factorize the following:
5x − 15x2
Factorize the following:
28a2 + 14a2b2 − 21a4
Factorize the following:
2l2mn - 3lm2n + 4lmn2
Factories by taking out common factors :
2x(a - b) + 3y(5a - 5b) + 4z(2b - 2a)
Factorise : `x^2 + 1/x^2 - 3`
Factorise : (a2 - 3a) (a2 - 3a + 7) + 10
Factorise : 9x 2 + 3x - 8y - 64y2
Factorise : 2√3x2 + x - 5√3
Factorise : `1/4 ( a + b )^2 - 9/16 ( 2a - b )^2`
Factorise : 2(ab + cd) - a2 - b2 + c2 + d2
Find the value of : ( 987 )2 - (13)2
Factorise : 3x2 + 6x3
Factorise : 15x4y3 - 20x3y
Factorise : 6x2y + 9xy2 + 4y3
Factorise : 2b (2a + b) - 3c (2a + b)
factorise : a2 - ab - 3a + 3b
factorise : x2y - xy2 + 5x - 5y
Factorise xy2 - xz2, Hence, find the value of :
40 x 5.52 - 40 x 4.52
Factorise: a4 - 625
Factorise the following by taking out the common factors:
24m4n6 + 56m6n4 - 72m2n2
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
Factorise:
`"p"^2 + (1)/"p"^2 - 3`
