Advertisements
Advertisements
प्रश्न
Verify:
x3 + y3 = (x + y) (x2 – xy + y2)
Advertisements
उत्तर
x3 + y3 = (x + y)(x2 – xy + y2)
L.H.S. = x3 + y3
Consider the right-hand side (RHS) and expand it as follows:
R.H.S. = (x + y)(x2 – xy + y2)
R.H.S. = x(x2 – xy + y2) + y(x2 – xy + y2)
R.H.S. = x3 – x2y + xy2 + x2y – xy2 + y3
R.H.S. = x3 + y3
∴ R.H.S. = L.H.S.
Hence, verified.
APPEARS IN
संबंधित प्रश्न
Simplify the following products:
`(2x^4 - 4x^2 + 1)(2x^4 - 4x^2 - 1)`
Simplify: `(a + b + c)^2 - (a - b + c)^2`
Find the value of 27x3 + 8y3, if 3x + 2y = 14 and xy = 8
Find the value of 27x3 + 8y3, if 3x + 2y = 20 and xy = \[\frac{14}{9}\]
Find the following product:
(4x − 5y) (16x2 + 20xy + 25y2)
If a + b = 10 and ab = 16, find the value of a2 − ab + b2 and a2 + ab + b2
If \[x - \frac{1}{x} = \frac{1}{2}\],then write the value of \[4 x^2 + \frac{4}{x^2}\]
If a + b + c = 0, then write the value of \[\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab}\]
(x − y) (x + y) (x2 + y2) (x4 + y4) is equal to ______.
Find the square of : 3a + 7b
Use the direct method to evaluate the following products :
(8 – b) (3 + b)
Evaluate: `(3"x"+1/2)(2"x"+1/3)`
Expand the following:
(a + 4) (a + 7)
Simplify:
`("a" - 1/"a")^2 + ("a" + 1/"a")^2`
Simplify:
(3x + 5y + 2z)(3x - 5y + 2z)
Evaluate the following :
7.16 x 7.16 + 2.16 x 7.16 + 2.16 x 2.16
Using suitable identity, evaluate the following:
1033
Expand the following:
(3a – 5b – c)2
Factorise the following:
16x2 + 4y2 + 9z2 – 16xy – 12yz + 24xz
Give possible expressions for the length and breadth of the rectangle whose area is given by 4a2 + 4a – 3.
