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Factorisation

Short Answer Type

71.

Factorise a² – 2ab + b² – c².

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72.

Factorise m⁴ – 256.

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73.

x² + 5x + 6.

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74.

Factorise y² – 7y + 12.

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75.

Factorise x² – 4x – 12.

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76.

Factorise:

3y² + 9y + 6.

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77.

Divide 33(p⁴ + 5p³ – 24p²) by 11p(p + 8).

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78.

Divide:

24xy²z³ by 6yz²

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79.

Divide:

63a²b⁴c⁶ by 7a²b²c³

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80.
Carry out the following division:

28x⁴ $divided by$ 56x

We have             28x⁴ $divided by$ 56x = $fraction numerator 28 straight x to the power of 4 over denominator 56 straight x end fraction$

                                        = $fraction numerator 2 cross times 2 cross times 7 cross times straight x to the power of 4 over denominator 2 cross times 2 cross times 2 cross times 7 cross times straight x to the power of 1 end fraction$

                                        = $1 half space cross times space straight x to the power of 4 minus 1 end exponent space equals space 1 half straight x cubed$