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Factorisation by Common Factors

Question 2ixF...

Question

Question 2(ix)
Factorise the following expressions
$x^{2} y z + x y^{2} z + x y z^{2}$

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Solution

$x^{2} y z = x \times x \times y \times z x y^{2} z = x \times y \times y \times z x y z^{2} = x \times y \times z \times z T h e c o m m o n f a c t o r s a r e x, y a n d z . ∴ x^{2} y z + x y^{2} z + x y z^{2} = (x \times x \times y \times z) + (x \times y \times y \times z) + (x \times y \times z \times z) = x \times y \times z [x + y + z] = x y z (x + y + z)$

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