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.
One-fourth of the product of numbers p and q.
Factorize: a2 + b2 + 2 (ab + bc + ca)
Factorize `5sqrt5x^2 + 20x + 3sqrt5`
Factorize the following expressions:
(a + b)3 – 8(a – b)3
Factorize the following expressions:
1029 – 3x3
8x3 + 27y3 - 216z3 + 108xyz
Write the value of 253 − 753 + 503.
Divide: 2a2 - 11a + 12 by a - 4
Express the following as an algebraic expression:
The product of 12, x, y and z minus the product of 5, m and n.
If Rohit has 5xy toffees and Shantanu has 20yx toffees, then Shantanu has ______ more toffees.
