Advertisements
Advertisements
प्रश्न
Factorize x (x3 - y3 ) + 3xy ( x - y )
Advertisements
उत्तर
Elaborating x3 - y3 using identity a3 - b3 = (a - b)(a2 + ab + b2 )
= x ( x - y)(x2 + xy + y2 ) + 3xy (x - y )
Taking common x( x - y ) in both the terms
= x ( x - y){x2 + xy + y2 + 3y}
∴ x (x3 - y3 ) + 3xy ( x - y) = x ( x - y )(x2 + xy + y2 + 3y)
APPEARS IN
संबंधित प्रश्न
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
Product of numbers y and z subtracted from 10.
Factorize `7(x - 2y)^2 - 25(x - 2y) + 12`
Factorize the following expressions:
(a - 2b)3 - 512b3
Factorize 64a3 +125b3 + 240a2b + 300ab2
(a – 3b)3 + (3b – c)3 + (c – a)3
If \[x^2 + \frac{1}{x^2} = 18,\] find the values of \[x + \frac{1}{x} \text { and } x - \frac{1}{x} .\]
Multiply: (2x - 3y)(2x - 3y)
Write the coefficient of x2 and x in the following polynomials
`6 - 2x^2 + 3x^3 - sqrt(7)x`
Number of terms in the expression a2 + bc × d is ______.
Which of the following statements about polynomials is correct?
