Advertisements
Advertisements
Question
Factorise:
`a^3 - 2sqrt(2)b^3`
Advertisements
Solution
`a^3 - 2sqrt(2)b^3 = (a)^3 - (sqrt(2)b)^3`
= `(a - sqrt(2)b)[a^2 + a(sqrt(2)b) + (sqrt(2)b)^2]` ...[Using identity, a3 – b3 = (a – b)(a2 + ab + b2)]
= `(a - sqrt(2)b)(a^2 + sqrt(2)ab + 2b^2)`
APPEARS IN
RELATED QUESTIONS
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = `2x^2+kx+sqrt2`
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = kx2 – 3x + k
Factorise:
2y3 + y2 – 2y – 1
Determine the following polynomial has (x + 1) a factor:
`x^3-x^2-(2+sqrt2)x+sqrt2`
Find the factor of the polynomial given below.
2m2 + 5m – 3
One of the factors of (25x2 – 1) + (1 + 5x)2 is ______.
Determine which of the following polynomials has x – 2 a factor:
3x2 + 6x – 24
Find the value of m so that 2x – 1 be a factor of 8x4 + 4x3 – 16x2 + 10x + m.
Factorise the following:
9x2 – 12x + 4
Factorise:
1 + 64x3
