Question

Express the following as a product of its any two factors ( in four different ways ).
1.
$12 {x}^{2} y$
2.
$18a {b}^{2}$
3.
$24 {c}^{2} b$

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Answer 1

We have,

• To Express the terms as product of its any two factors.

Here,

1. $12 {x}^{2} y$
2. $18a {b}^{2}$
3. $24 {c}^{2} b$

Now,

$\large \: \: 1.) \: \: \: \rm \: {12x}^{2} y \\ \tt{} \to(12 )\times ( {x}^{2} y) \\ \tt{} \to(12x )\times (xy) \\ \tt{} \to(12y) \times ( {x}^{2} ) \\ \tt{} \to(12xy) \times (x)$

$\large \: 2.) \: \: \: \rm \: {18ab}^{2} \\ \tt{} \to (18) \times ( {ab}^{2} ) \\ \tt{} \to(9) \times ( {2ab}^{2} ) \\ \tt{} \to(3) \times ( {6ab}^{2} ) \\ \tt{} \to( {b}^{2} ) \times (18a)$

$\large \: 3.) \: \: \rm \: {24c}^{2} b \\ \: \: \tt \to(24) \times ( {c}^{2}b ) \\ \: \: \tt \to(12) \times ( {2c}^{2} b) \\ \: \: \tt \to( {c}^{2} ) \times (24b) \\ \: \: \tt \to(b) \times ( {24c}^{2} )$