Advertisements
Advertisements
Question
Factorise the following:
8a3 + b3 + 12a2b + 6ab2
Advertisements
Solution
8a3 + b3 + 12a2b + 6ab2
= (2a)3 + (b)3 + 6ab(2a + b)
= (2a)3 + (b)3 + 3(2a)(b)(2a + b) ...[Using a3 + b3 + 3ab(a + b) = (a + b)3]
= (2a + b)(2a + b)(2a + b)
APPEARS IN
RELATED QUESTIONS
Factorise:
27x3 + y3 + z3 – 9xyz
Verify that `x^3+y^3+z^3-3xyz=1/2(x+y+z)[(x-y)^2+(y-z)^2+(z-x)^2]`
Evaluate following using identities:
(a - 0.1) (a + 0.1)
Evaluate the following using identities:
117 x 83
Evaluate the following using identities:
(0.98)2
If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
Simplify the expression:
`(x + y + z)^2 + (x + y/2 + 2/3)^2 - (x/2 + y/3 + z/4)^2`
Evaluate of the following:
(598)3
If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`
If x = −2 and y = 1, by using an identity find the value of the following
Find the following product:
(3x + 2y + 2z) (9x2 + 4y2 + 4z2 − 6xy − 4yz − 6zx)
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
Expand the following:
(a + 3b)2
Expand the following:
(2p - 3q)2
Evaluate the following without multiplying:
(999)2
Evaluate, using (a + b)(a - b)= a2 - b2.
4.9 x 5.1
If x + y = 1 and xy = -12; find:
x - y
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
