Advertisements
Advertisements
प्रश्न
Factorise the following:
`8p^3 + 12/5 p^2 + 6/25 p + 1/125`
Advertisements
उत्तर
`8p^3 + 12/5 p^2 + 6/25 p + 1/125`
= `(2p)^3 + 3 xx (2p)^2 xx 1/5 + 3 xx (2p) xx (1/5)^2 + (1/5)^3`
= `(2p + 1/5)^3` ...[Using identity, (a + b)3 = a3 + b3 + 3a2b + 3ab2]
= `(2p + 1/5)(2p + 1/5)(2p + 1/5)`
APPEARS IN
संबंधित प्रश्न
Use the Factor Theorem to determine whether g(x) is a factor of p(x) in the following case:
p(x) = 2x3 + x2 – 2x – 1, g(x) = x + 1
Find the value of k, if x – 1 is a factor of p(x) in the following case:
p(x) = kx2 – 3x + k
Factorise:
6x2 + 5x – 6
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.
12x2 + 61x + 77
If x + 1 is a factor of the polynomial 2x2 + kx, then the value of k is ______.
The factorisation of 4x2 + 8x + 3 is ______.
Show that x + 3 is a factor of 69 + 11x – x2 + x3.
Find the following product:
(2x – y + 3z)(4x2 + y2 + 9z2 + 2xy + 3yz – 6xz)
Factorise:
a3 – 8b3 – 64c3 – 24abc
