Advertisements
Advertisements
Question
Divide: 9x2 - 24xy + 16y2 by 3x- 4y
Solution
9x2 - 24xy + 16y2 by 3x- 4y
3x - 4y
`"3x" - "4y")overline("9x"^2 - 24"xy" + 16"y"^2)(`
9x2 - 12xy
- +
- 12xy + 16y2
- 12xy + 16y2
+ -
xxx
= 3x - 4y
APPEARS IN
RELATED QUESTIONS
Get the algebraic expression in the following case using variables, constants and arithmetic operations.
One-half of the sum of numbers x and y.
Factorize the following expressions:
x3y3 + 1
Factorize a3 x3 - 3a2bx2 + 3ab2 x - b3
Multiply: x2 + y2 + z2 − xy + xz + yz by x + y − z
The value of \[\frac{(2 . 3 )^3 - 0 . 027}{(2 . 3 )^2 + 0 . 69 + 0 . 09}\]
Evaluate: `(1/2 "a" + 1/2 "b") (1/2 "a" - 1/2 "b")`
Divide: 3y3 - 9ay2 - 6ab2y by -3y
If x = 2 and y = 3, then find the value of the following expressions
x + 1 – y
Rohan's mother gave him ₹ 3xy2 and his father gave him ₹ 5(xy2 + 2). Out of this total money he spent ₹ (10 – 3xy2) on his birthday party. How much money is left with him?
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 |