Advertisements
Advertisements
प्रश्न
Factorize : x2 − 1 − 2a − a2
Advertisements
उत्तर
The given expression to be factorized is
`x^2 -1 -2a -a^2`
Take common -1from the last three terms and then we have
`x^2 - 1 -2a - a^2`
` = x^2 - (1+2a + a^2)`
` = x^2 - {(1)^2 + 2.1.a+ (a)^2}`
` = x^2 - (1+ a)^2`
` = (x)^2 - (1+a)^2`
` = {x+ (1+ a)}{x-(1+a)}`
` = (x+1+a)(x-1-a)`
We cannot further factorize the expression.
So, the required factorization is `x^2 -1 -2a - a^2 = (x+1 + a)(x-1-a)`.
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`
Find the value of the following expression: 81x2 + 16y2 − 72xy, when \[x = \frac{2}{3}\] and \[y = \frac{3}{4}\]
Factorize: x4 + x2 + 25.
If 3x = a + b + c, then the value of (x − a)3 + (x −b)3 + (x − c)3 − 3(x − a) (x − b) (x −c) is
Divide: 10a3 - 15a2b by - 5a2
Divide: 6x3 + 5x2 − 21x + 10 by 3x − 2
Write in the form of an algebraic expression:
Perimeter (P) of a square is four times its side.
The total number of planets of Sun can be denoted by the variable n.
Shiv works in a mall and gets paid ₹ 50 per hour. Last week he worked for 7 hours and this week he will work for x hours. Write an algebraic expression for the money paid to him for both the weeks.
