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Reducing Equations to Simpler Form

Question 3vii...

Question

Question 3(vii)
Factorise the expressions
$5 y^{2} - 20 y - 8 z + 2 y z$

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Solution

$5 y^{2} - 20 y - 8 z + 2 y z = 5 y^{2} - 20 y + 2 y z - 8 z = 5 y (y - 4) + 2 z (y - 4) = (y - 4) (5 y + 2 z)$

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(i) 4 x^{2} + 9 y^{2} + 16 z^{2} + 12 x y - 24 y z - 16 x z (i i) 2 x^{2} + y^{2} + 8 z^{2} - 2 \sqrt{2} x y + 4 \sqrt{2} y z - 8 x z

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