Advertisements
Advertisements
प्रश्न
Factorise the following:
8a3 + b3 + 12a2b + 6ab2
Advertisements
उत्तर
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
संबंधित प्रश्न
Factorise the following:
8a3 – b3 – 12a2b + 6ab2
What are the possible expressions for the dimensions of the cuboids whose volume is given below?
| Volume : 12ky2 + 8ky – 20k |
if `x^2 + 1/x^2 = 79` Find the value of `x + 1/x`
If a + b + c = 9 and ab + bc + ca = 23, find the value of a2 + b2 + c2.
Find the cube of the following binomials expression :
\[\frac{1}{x} + \frac{y}{3}\]
If a − b = 4 and ab = 21, find the value of a3 −b3
If \[x - \frac{1}{x} = 5\], find the value of \[x^3 - \frac{1}{x^3}\]
If \[x^2 + \frac{1}{x^2}\], find the value of \[x^3 - \frac{1}{x^3}\]
Evaluate of the following:
933 − 1073
Find the value of 27x3 + 8y3, if 3x + 2y = 20 and xy = \[\frac{14}{9}\]
Find the following product:
If a − b = 5 and ab = 12, find the value of a2 + b2
If a2 - 3a + 1 = 0, and a ≠ 0; find:
- `a + 1/a`
- `a^2 + 1/a^2`
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Use the direct method to evaluate :
`(3/5"a"+1/2)(3/5"a"-1/2)`
Evaluate: `(3"x"+1/2)(2"x"+1/3)`
If p + q = 8 and p - q = 4, find:
pq
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a"^2 + (1)/"a"^2`
Find the value of x3 + y3 – 12xy + 64, when x + y = – 4
Multiply x2 + 4y2 + z2 + 2xy + xz – 2yz by (–z + x – 2y).
