Divide: 12x3y - 8x2y2 + 4x2y3 by 4xy

Divide: 12x³y - 8x²y² + 4x²y³ by 4xy

योग

12x³y - 8x²y² + 4x²y³ by 4xy

`= (12"x"^3"y" - 8"x"^2"y"^2 + 4"x"^2"y"^3)/"4xy"`

`= ("12x"^3"y")/"4xy" - (8"x"^2"y"^2)/"4xy" + (4"x"^2"y"^3)/"4xy"`

= 3x² - 2xy + xy²

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अध्याय 11: Fundamental Concepts (Including Fundamental Operations) - Exercise 11 (D)

अध्याय 11 Fundamental Concepts (Including Fundamental Operations)
Exercise 11 (D) | Q 1.09

Factorize: `a^2 x^2 + (ax^2 + 1)x + a`

Factorize a² + 4b² - 4ab - 4c²

Factorize `2x^2 - 5/6x + 1/12`

Simplify `(173 xx 173 xx 173 xx 127 xx 127 xx 127)/(173 xx 173 xx 173 xx 127 xx 127 xx 127)`

Factorize x³ -12x ( x - 4) - 64

`2sqrt2a^3 + 16sqrt2b^3 + c^3 - 12abc`

If (x + y)³ − (x − y)³ − 6y(x² − y²) = ky², then k =

Divide:

n² − 2n + 1 by n − 1

Divide: x² + 4xy + 4y² by x + 2y

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