Advertisements
Advertisements
Question
Factorize the following expressions:
a12 + b12
Advertisements
Solution
= (a4)3 + (b4)3
= (a4)3 + (b4 )3
= (a4 + b4 )((a4)2 - a4 x b4 + (b4 )2) [∵ a3 + b3 = (a + b)(a2 - ab + b2 )]
= (a4 + b4 )(a8 - a4b4 + b8 )
∴ a12 + b12 = (a4 + b4)(a8 - a4b4 + b8)
APPEARS IN
RELATED QUESTIONS
Factorize the following expressions:
y3 +125
Factorize the following expressions
1- 27a3
Factorize the following expressions:
( x + 2)3 + ( x - 2)3
Factorize the following expressions:
1029 – 3x3
(3x - 2 y)3 + (2 y - 4z )3 + (4z - 3x)3
If x2 + y2 = 29 and xy = 2, find the value of x4 + y4 .
The value of \[\frac{(2 . 3 )^3 - 0 . 027}{(2 . 3 )^2 + 0 . 69 + 0 . 09}\]
Write in the form of an algebraic expression:
Perimeter (P) of a square is four times its side.
Write the coefficient of x2 and x in the following polynomials
`sqrt(3)x^2 + sqrt(2)x + 0.5`
If x = 2 and y = 3, then find the value of the following expressions
x + y
