Divide: X6 − 8 by X2 − 2

Divide: x⁶ − 8 by x² − 2

Sum

`"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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Chapter 11: Algebraic Expressions - Exercise 11 (D) [Page 145]

Chapter 11 Algebraic Expressions
Exercise 11 (D) | Q 1.12 | Page 145

Work out the following division:

9x²y²(3z − 24) ÷ 27xy(z − 8)

Work out the following division:

96abc(3a − 12)(5b − 30) ÷ 144(a − 4) (b − 6)

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:
2x² and 12x²

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:
4a²b³, −12a³b, 18a⁴b³

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

Find the greatest common factor (GCF/HCF) of the following polynomial:
2x³y², 10x²y³, 14xy

Find the greatest common factor (GCF/HCF) of the following polynomial:
14x³y⁵, 10x⁵y³, 2x²y²