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
Expand the following, using suitable identity:
(–2x + 5y – 3z)2
Write in the expanded form:
`(2 + x - 2y)^2`
Simplify (a + b + c)2 + (a - b + c)2 + (a + b - c)2
Find the cube of the following binomials expression :
\[4 - \frac{1}{3x}\]
Evaluate of the following:
(99)3
If \[x^4 + \frac{1}{x^4} = 119\] , find the value of \[x^3 - \frac{1}{x^3}\]
If a + b = 7 and ab = 12, find the value of a2 + b2
If 49a2 − b = \[\left( 7a + \frac{1}{2} \right) \left( 7a - \frac{1}{2} \right)\] then the value of b is
Use identities to evaluate : (998)2
Evaluate: (4 − ab) (8 + ab)
If x + y = 9, xy = 20
find: x - y
If p + q = 8 and p - q = 4, find:
pq
If x + y = 1 and xy = -12; find:
x - y
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Simplify:
(x + y - z)2 + (x - y + z)2
Which one of the following is a polynomial?
Using suitable identity, evaluate the following:
1033
Using suitable identity, evaluate the following:
9992
Expand the following:
(3a – 2b)3
Simplify (2x – 5y)3 – (2x + 5y)3.
