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
Expand the following, using suitable identity:
(–2x + 5y – 3z)2
Expand the following, using suitable identity:
`[1/4a-1/2b+1]^2`
Factorise the following:
64a3 – 27b3 – 144a2b + 108ab2
Factorise the following:
27y3 + 125z3
If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`
Simplify: `(a + b + c)^2 - (a - b + c)^2`
If a + b + c = 0 and a2 + b2 + c2 = 16, find the value of ab + bc + ca.
If \[x^2 + \frac{1}{x^2} = 98\] ,find the value of \[x^3 + \frac{1}{x^3}\]
If `x - 1/x = 3 + 2sqrt2`, find the value of `x^3 - 1/x^3`
Find the following product:
(3x + 2y + 2z) (9x2 + 4y2 + 4z2 − 6xy − 4yz − 6zx)
Find the following product:
(2ab − 3b − 2c) (4a2 + 9b2 +4c2 + 6 ab − 6 bc + 4ca)
If \[x^2 + \frac{1}{x^2} = 102\], then \[x - \frac{1}{x}\] =
Use identities to evaluate : (97)2
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Use the direct method to evaluate :
(2a+3) (2a−3)
Evaluate: `(3"x"+1/2)(2"x"+1/3)`
Expand the following:
(m + 8) (m - 7)
Evaluate, using (a + b)(a - b)= a2 - b2.
399 x 401
If `"r" - (1)/"r" = 4`; find : `"r"^4 + (1)/"r"^4`
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
