Advertisements
Advertisements
प्रश्न
Expand the following:
(3a – 2b)3
उत्तर
(3a – 2b)3 = (3a)3 – (2b)3 – 3(3a)(2b)(3a – 2b) ...[Using identity, (a – b)3 = a3 – b3 – 3ab(a – b)]
= 27a3 – 8b3 – 18ab(3a – 2b)
= 27a3 – 8b3 – 54a2b + 36ab2
= 27a3 – 54a2b + 36ab2 – 8b3
APPEARS IN
संबंधित प्रश्न
Expand the following, using suitable identity:
(2x – y + z)2
Without actually calculating the cubes, find the value of the following:
(–12)3 + (7)3 + (5)3
Simplify the following products:
`(x/2 - 2/5)(2/5 - x/2) - x^2 + 2x`
Write in the expanded form:
`(2 + x - 2y)^2`
Simplify: `(a + b + c)^2 - (a - b + c)^2`
Simplify `(x^2 + y^2 - z)^2 - (x^2 - y^2 + z^2)^2`
If a2 + b2 + c2 = 16 and ab + bc + ca = 10, find the value of a + b + c.
Find the cube of the following binomials expression :
\[2x + \frac{3}{x}\]
Simplify of the following:
Find the following product:
If the volume of a cuboid is 3x2 − 27, then its possible dimensions are
Expand the following:
(m + 8) (m - 7)
Find the squares of the following:
9m - 2n
Evaluate the following without multiplying:
(95)2
If `"a" - 1/"a" = 10;` find `"a" + 1/"a"`
If x + y = 1 and xy = -12; find:
x - y
If `x^2 + (1)/x^2 = 18`; find : `x - (1)/x`
Simplify:
(3a + 2b - c)(9a2 + 4b2 + c2 - 6ab + 2bc +3ca)
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
Simplify (2x – 5y)3 – (2x + 5y)3.