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Writing Patterns in Geometry

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Question

Write the factors of the terms of the following algebraic expressions.
(a) $x y z - x^{3} + 2 y^{3}$
(b) $- 25 x^{2} y + 6 x y^{2}$

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Solution

We have,
(a) $x y z - x^{3} + 2 y^{3}$

$\Rightarrow x (y z - x^{2}) + 2 y^{3}$

(b) $- 25 x^{2} y + 6 x y^{2}$

$\Rightarrow (x y) (- 25 x + 6 y)$

Hence, this is the answer.

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