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

Work out the following division:

9x²y²(3z − 24) ÷ 27xy(z − 8)

Divide as directed.

26xy(x + 5) (y − 4) ÷ 13x(y − 4)

Find the greatest common factor (GCF/HCF) of the following polynomial:
12ax², 6a²x³ and 2a³x⁵

Find the greatest common factor (GCF/HCF) of the following polynomial:
9x², 15x²y³, 6xy² and 21x²y²

Find the greatest common factor (GCF/HCF) of the following polynomial:
36a²b²c⁴, 54a⁵c², 90a⁴b²c²

Find the greatest common factor (GCF/HCF) of the following polynomial:
15a³, − 45a², − 150a

Divide: 16 + 8x + x⁶ − 8x³ − 2x⁴ + x² by x + 4 − x³

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

The product of two numbers-is 16x⁴ – 1. If one number is 2x – 1, find the other.

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