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Question

Use the identity (x -a)(x - b) to find the product of
(xyz - 4)(xyz - 2).
[2 Marks]

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Solution

(x - a)(x - b)=x2 + (a-b)x + ab

(xyz - 4)(xyz - 2)
a=4, b= 2, x=xyz
[1 Mark]

(xyz - 4)(xyz - 2) = (xyz)2 - (4 + 2)(xyz) + (4)(2)

(xyz - 4)(xyz - 2)= (xyz)2 - 6xyz + 8
[1 Mark]


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