Advertisements
Advertisements
प्रश्न
Factorise the following:
27 – 125a3 – 135a + 225a2
Advertisements
उत्तर
27 – 125a3 – 135a + 225a2
= 33 – (5a)3 – 3(3) (5a) (3 – 5a)
= (3 – 5a)3 ...[Using a3 − b3 − 3ab(a − b) = (a − b)3]
= (3 – 5a)(3 – 5a)(3 – 5a)
APPEARS IN
संबंधित प्रश्न
Factorise the following using appropriate identity:
4y2 – 4y + 1
Expand the following, using suitable identity:
(–2x + 3y + 2z)2
Factorise:
`2x^2 + y^2 + 8z^2 - 2sqrt2xy + 4sqrt2yz - 8xz`
Evaluate the following using identities:
(1.5x2 − 0.3y2) (1.5x2 + 0.3y2)
If `x + 1/x = sqrt5`, find the value of `x^2 + 1/x^2` and `x^4 + 1/x^4`
If `x^2 + 1/x^2 = 66`, find the value of `x - 1/x`
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
Simplify the following expressions:
`(x^2 - x + 1)^2 - (x^2 + x + 1)^2`
Find the value of 27x3 + 8y3, if 3x + 2y = 14 and xy = 8
If a + b + c = 9 and ab +bc + ca = 26, find the value of a3 + b3+ c3 − 3abc
If \[x^3 + \frac{1}{x^3} = 110\], then \[x + \frac{1}{x} =\]
Evaluate `(a/[2b] + [2b]/a )^2 - ( a/[2b] - [2b]/a)^2 - 4`.
If a - b = 7 and ab = 18; find a + b.
Use the direct method to evaluate the following products:
(5a + 16) (3a – 7)
Evaluate: (4 − ab) (8 + ab)
Expand the following:
(a + 3b)2
Evaluate, using (a + b)(a - b)= a2 - b2.
15.9 x 16.1
If `"a"^2 - 7"a" + 1` = 0 and a = ≠ 0, find :
`"a" + (1)/"a"`
If a2 + b2 + c2 = 41 and a + b + c = 9; find ab + bc + ca.
If `"r" - (1)/"r" = 4`; find: `"r"^2 + (1)/"r"^2`
