Advertisements
Advertisements
प्रश्न
Factorize the following expressions:
a12 + b12
Advertisements
उत्तर
= (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
संबंधित प्रश्न
Factorize `x^2 + 12/35 x + 1/35`
Factorize the following expressions:
10x4y – 10xy4
(a – 3b)3 + (3b – c)3 + (c – a)3
If \[x^2 + \frac{1}{x^2} = 18,\] find the values of \[x + \frac{1}{x} \text { and } x - \frac{1}{x} .\]
The expression (a − b)3 + (b − c)3 + (c −a)3 can be factorized as
Write in the form of an algebraic expression:
Perimeter (P) of a square is four times its side.
Express the following as an algebraic expression:
The subtraction of 5m from 3n and then adding 9p to it.
The simplest form of 5 ÷ `(3/2) - 1/3` is ______.
The figure shows the dimensions of a wall having a window and a door of a room. Write an algebraic expression for the area of the wall to be painted.
Which of the following statements about polynomials is correct?
