Advertisements
Advertisements
Question
Factorize the following expressions:
x6 + y6
Advertisements
Solution
x6 + y6
= (x2)3 + ( y2)3
= (x2 + y2 )((x2)2 - x2 y2 + (y2)2) [∵ a3 + b3 = (a + b)(a2 - ab + b2)]
= (x2 + y2 )(x4 - x2 y2 + y4)
∴ x6 + y6 = (x2 + y2 )(x4 - x2 y2 + y4 )
APPEARS IN
RELATED QUESTIONS
Factorize `[x^2 + 1/x^2] - 4[x + 1/x] + 6`
Factorize the following expressions:
y3 +125
(3x - 2 y)3 + (2 y - 4z )3 + (4z - 3x)3
If x − y = 7 and xy = 9, find the value of x2 + y2
If x2 + y2 = 29 and xy = 2, find the value of x4 + y4 .
Simplify : \[\frac{1 . 2 \times 1 . 2 \times 1 . 2 - 0 . 2 \times 0 . 2 \times 0 . 2}{1 . 2 \times 1 . 2 + 1 . 2 \times 0 . 2 + 0 . 2 \times 0 . 2}\]
Factorize : x2 − 1 − 2a − a2
Multiply: (1 + 6x2 - 4x3)(-1 + 3x - 3x2)
If x = 2 and y = 3, then find the value of the following expressions
x + y
In the given figure, the length of a green side is given by g and that of the red side is given by p.
Write an expression for the following pattern. Also write an expression if 100 such shapes are joined together.
