Advertisements
Advertisements
Question
Expand the following:
`(1/x + y/3)^3`
Advertisements
Solution
`(1/x + y/3)^3 = (1/x)^3 + (y/3)^3 + 3(1/x)(y/3)(1/x + y/3)` ...[Using identity, (a + b)3 = a3 + b3 + 3ab(a + b)]
= `1/x^3 + y^3/27 + y/x(1/x + y/3)`
= `1/x^3 + y^3/27 + y/x^2 + y^2/(3x)`
APPEARS IN
RELATED QUESTIONS
Use suitable identity to find the following product:
(3x + 4) (3x – 5)
Write the following cube in expanded form:
`[3/2x+1]^3`
Write the following cube in expanded form:
`[x-2/3y]^3`
Without actually calculating the cubes, find the value of the following:
(–12)3 + (7)3 + (5)3
Simplify (2x + p - c)2 - (2x - p + c)2
If \[x + \frac{1}{x} = 5\], find the value of \[x^3 + \frac{1}{x^3}\]
Find the following product:
Find the following product:
If \[3x + \frac{2}{x} = 7\] , then \[\left( 9 x^2 - \frac{4}{x^2} \right) =\]
The product (x2−1) (x4 + x2 + 1) is equal to
Evalute : `( 7/8x + 4/5y)^2`
The number x is 2 more than the number y. If the sum of the squares of x and y is 34, then find the product of x and y.
Use the direct method to evaluate :
(3b−1) (3b+1)
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
Simplify by using formula :
(a + b - c) (a - b + c)
If p + q = 8 and p - q = 4, find:
p2 + q2
If `"a"^2 + (1)/"a"^2 = 14`; find the value of `"a" + (1)/"a"`
Simplify:
(2x + y)(4x2 - 2xy + y2)
Using suitable identity, evaluate the following:
1033
Expand the following:
(–x + 2y – 3z)2
