Advertisements
Advertisements
प्रश्न
Simplify:
`(x - 1/x)(x^2 + 1 + 1/x^2)`
उत्तर
`(x - 1/x)(x^2 + 1 + 1/x^2)`
= `x(x^2 + 1 + 1/x^2) - (1)/x (x^2 + 1 + 1/x^2)`
= `x^3 + x + (1)/x - x - (1)/x - (1)/x^3`
= `x^3 - (1)/x^3`.
APPEARS IN
संबंधित प्रश्न
Evaluate the following using identities:
(0.98)2
Write in the expanded form:
`(a + 2b + c)^2`
Simplify (2x + p - c)2 - (2x - p + c)2
Simplify of the following:
(2x − 5y)3 − (2x + 5y)3
If x = −2 and y = 1, by using an identity find the value of the following
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
Mark the correct alternative in each of the following:
If \[x + \frac{1}{x} = 5\] then \[x^2 + \frac{1}{x^2} = \]
If \[x^4 + \frac{1}{x^4} = 623\] then \[x + \frac{1}{x} =\]
Use the direct method to evaluate the following products :
(b – 3) (b – 5)
Use the direct method to evaluate :
`("z"-2/3)("z"+2/3)`
