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:
(3a – 7b – c)2
Evaluate following using identities:
(a - 0.1) (a + 0.1)
if `x + 1/x = 11`, find the value of `x^2 + 1/x^2`
if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`
Write in the expanded form: `(x + 2y + 4z)^2`
If \[x - \frac{1}{x} = 5\], find the value of \[x^3 - \frac{1}{x^3}\]
Find the following product:
Evaluate `(a/[2b] + [2b]/a )^2 - ( a/[2b] - [2b]/a)^2 - 4`.
Evaluate : (4a +3b)2 - (4a - 3b)2 + 48ab.
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
If a2 - 5a - 1 = 0 and a ≠ 0 ; find:
- `a - 1/a`
- `a + 1/a`
- `a^2 - 1/a^2`
Use the direct method to evaluate :
(x+1) (x−1)
Use the direct method to evaluate :
(3x2+5y2) (3x2−5y2)
Evaluate: `(3"x"+1/2)(2"x"+1/3)`
Evaluate: `(2"a"+1/"2a")(2"a"-1/"2a")`
If `"a" - 1/"a" = 10`; find `"a"^2 - 1/"a"^2`
Simplify:
(7a +5b)2 - (7a - 5b)2
Evaluate the following :
1.81 x 1.81 - 1.81 x 2.19 + 2.19 x 2.19
Factorise the following:
`(2x + 1/3)^2 - (x - 1/2)^2`
Simplify (2x – 5y)3 – (2x + 5y)3.
