Advertisements
Advertisements
Question
The factors of x3 −x2y − xy2 + y3 are
Options
(x + y) (x2 − xy + y2)
(x + y) (x2 + xy + y2)
(x + y)2 (x − y)
(x − y)2 (x + y)
Advertisements
Solution
The given expression to be factorized is
x3 −x2y − xy2 + y3
Take common `x^2` from the first two terms and `-y^2` from the last two terms. That is
x3 −x2y − xy2 + y3 ` = x^2 (x-y) - y^2 (x-y)`
Finally, take common (x-y)from the two terms. That is
x3 −x2y − xy2 + y3 = `(x-y)(x^2 - y^2)`
` = (x-y){(x)^2 - (y)^2 }`
` = (x- y)(x+y)(x-y)`
` = (x-y)^2 (x+y)`
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
The number z multiplied by itself.
Factorize `2x^2 - 5/6x + 1/12`
Simplify `(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
Simplify : \[\frac{1 . 2 \times 1 . 2 \times 1 . 2 - 0 . 2 \times 0 . 2 \times 0 . 2}{1 . 2 \times 1 . 2 + 1 . 2 \times 0 . 2 + 0 . 2 \times 0 . 2}\]
Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`
Divide: x3 − 6x2 + 11x − 6 by x2 − 4x + 3
Write the variables, constant and terms of the following expression
7p – 4q + 5
In the formula, area of circle = πr2, the numerical constant of the expression πr2 is ______.
Express the following properties with variables x, y and z.
Commutative property of multiplication
How many terms does a trinomial contain?
