Advertisements
Advertisements
प्रश्न
Factorize `21x^2 - 2x + 1/21`
Advertisements
उत्तर
`= (sqrt21x)^2 - 2 xx sqrt21x xx 1/sqrt21 + (1/sqrt21)^2`
Using idnetity `a^2 - 2ab + b^2 = (a - b)^2`
`= (sqrt21x - 1/sqrt21)^2`
`∴ 21x^2 - 2x + 1/21 = (sqrt21x - 1/sqrt21)^2`
APPEARS IN
संबंधित प्रश्न
Factorize `x^2 - 2sqrt2x - 30`
Factorize the following expressions:
a3 + 3a2b + 3ab2 + b3 - 8
Simplify `(155 xx 155 xx 155 - 55 xx 55 xx 55)/(155 xx 155 + 155 xx 55 + 55 xx 55)`
Factorize a3 x3 - 3a2bx2 + 3ab2 x - b3
Write the value of 253 − 753 + 503.
Evaluate: (3c - 5d)(4c - 6d)
The solution of the equation `"3x" - 1/2 = 5/2 + "x"` is ______.
An algebraic statement which is equivalent to the verbal statement “Three times the sum of ‘x’ and ‘y’ is
In the expression 2πr, the algebraic variable 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 |
