Advertisements
Advertisements
प्रश्न
Mark the correct alternative in each of the following: The factors of a2 − 1 − 2x − x2 are
विकल्प
(a − x + 1) (a − x − 1)
(a + x − 1) (a − x + 1)
` (a+x+1)(a- x -1)`
none of these
Advertisements
उत्तर
The given expression to be factorized is `a^2 - 1 -2x - x^2`
Take common -1from the last three terms and then we have
a2 − 1 − 2x − x2 ` = a^2 - (1 + 2x + x^3)`
`= a^2 - {(1)^2 + 2.1.x + (x)^2}`
` = a^2 - (1+x)^2`
` = (a)^2 - (1 + x)^2`
` = {a+ (1+x)}{ a-(1+x)}`
`= (a+1 + x)(a-1-x)`
` = (a+x+1)(a- x -1)`
APPEARS IN
संबंधित प्रश्न
Simplify `(173 xx 173 xx 173 xx 127 xx 127 xx 127)/(173 xx 173 xx 173 xx 127 xx 127 xx 127)`
Factorize 125x3 - 27 y3 - 225x2 y +135xy2
Write the value of 303 + 203 − 503.
Factorize : x2 − 1 − 2a − a2
If x3 − 3x2 + 3x − 7 = (x + 1) (ax2 + bx + c), then a + b + c =
Divide: 8m - 16 by - 8
Divide: 6x2 + 5x - 6 by 2x + 3
The solution of the equation `"3x" - 1/2 = 5/2 + "x"` is ______.
The variable in the expression 16x – 7 is __________
Match Column I with Column II in the following:
| Column I | Column II |
| 1. The difference of 3 and a number squared | (a) 4 – 2x |
| 2. 5 less than twice a number squared | (b) n2 – 3 |
| 3. Five minus twice the square of a number | (c) 2n2 – 5 |
| 4. Four minus a number multiplied by 2 | (d) 5 – 2n2 |
| 5. Seven times the sum of a number and 1 | (e) 3 – n2 |
| 6. A number squared plus 6 | (f) 2(n + 6) |
| 7. 2 times the sum of a number and 6 | (g) 7(n + 1) |
| 8. Three less than the square of a number | (h) n2 + 6 |
