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प्रश्न
Divide: 15x2 + 31xy + 14y2 by 5x + 7y
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उत्तर
15x2 + 31xy + 14y2 by 5x + 7y
3x + 2y
`"5x" + "7y")overline("15x"^2 + 31"xy" + 14"y"^2)(`
15x2 − 21xy
− −
10xy + 14y2
10xy + 14y2
− −
xxx
= 3x + 2y
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संबंधित प्रश्न
Factorize `2a^2 + 2 sqrt6ab + 3b^2`
Factorize the following expressions
8x3 y3 + 27a3
Factorize 8a3 – 27b3 – 36a2b + 54ab2
Factorize a3 x3 - 3a2bx2 + 3ab2 x - b3
a3 + 8b3 + 64c3 - 24abc
8x3 + 27y3 - 216z3 + 108xyz
If x2 + y2 = 29 and xy = 2, find the value of x4 + y4 .
The factors of 8a3 + b3 − 6ab + 1 are
Evaluate:
(i) (a + b)(a - b)
(ii) (a2 + b2)(a + b)(a - b); using the result of (i).
(iii) (a4 + b4)(a2 + b2)(a + b)(a - b); using the result of (ii).
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 |
