Divide: X6 − 8 by X2 − 2

Divide: x⁶ − 8 by x² − 2

बेरीज

`"x"^2-2) overline("x"6 -8 )("x"^4+2"x"^2+4`
`"x"^6 -2"x"^4`
− +
2x⁴ − 8
2x⁴ − 4x²
− +
4x² − 8
4x² − 8
− +
×

∴ x⁴ + 2x² + 4

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पाठ 11: Algebraic Expressions - Exercise 11 (D) [पृष्ठ १४५]

पाठ 11 Algebraic Expressions
Exercise 11 (D) | Q 1.12 | पृष्ठ १४५

Divide as directed.

52pqr (p + q) (q + r) (r + p) ÷ 104pq (q + r) (r + p)

Divide as directed.

20(y + 4) (y² + 5y + 3) ÷ 5(y + 4)

Divide as directed.

x(x + 1) (x + 2) (x + 3) ÷ x(x + 1)

Factorise the expression and divide them as directed.

4yz(z² + 6z − 16) ÷ 2y(z + 8)

Find the greatest common factor (GCF/HCF) of the following polynomial:
7x, 21x² and 14xy²

Find the greatest common factor (GCF/HCF) of the following polynomial:
42x²yz and 63x³y²z³

Find the quotient and the remainder when :
a³− 5a² + 8a + 15 is divided by a + 1. verify your answer.

Find the quotient and the remainder when 3x⁴ + 6x³ − 6x² + 2x − 7 is divided by x − 3. in case, verify your answer.

Divide x⁶ – y⁶ by the product of x² + xy + y² and x – y.