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.
2y, 22xy
Factorise the following expression:
6p − 12q
Factorise the following expression:
20 l2m + 30 alm
Factorise the following expression:
5x2y − 15xy2
Factorise the following expression:
10a2 − 15b2 + 20c2
Factorise the following expression:
− 4a2 + 4ab − 4 ca
Factorise the following expression:
ax2y + bxy2 + cxyz
Factorize the following:
20a12b2 − 15a8b4
Factorize the following:
2l2mn - 3lm2n + 4lmn2
Factorize the following:
16m − 4m2
Factorize the following:
x2yz + xy2z + xyz2
Factorise : `(9a)^2 + 1/(9a)^2 - 2 - 12a + 4/(3a)`
Factorise:
`x^4 + y^4 - 27x^2y^2`
Factorise : `x^2 + 1/x^2 - 3`
Factorise: x4 + y4 - 3x2y2
Factorise : 9x 2 + 3x - 8y - 64y2
Factorise : 2√3x2 + x - 5√3
Find the value of : ( 67.8 )2 - ( 32.2 )2
Factorise : 4a2 - 8ab
Factorise : 15x4y3 - 20x3y
Factorise : 2b (2a + b) - 3c (2a + b)
Factorise : 4x(3x - 2y) - 2y(3x - 2y)
factorise : 6x3 - 8x2
Factorise:
a2 – ab(1 – b) – b3
Factorise xy2 - xz2, Hence, find the value of :
9 x 82 - 9 x 22
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:
(a - b)2 -2(a - b)
Factorise:
`4"a"^2 + (1)/(4"a"^2) - 2 - 6"a" + (3)/(2"a")`
