Question
Factorize the using appropriate identity: ${x^2} - \frac{{{y^2}}}{{100}}$
✓
Answer
${x^2} - \frac{{{y^2}}}{{100}}$
We can observe that we can apply the identity ${a^2} - {b^2} = \left( {a - b} \right)\left( {a + b} \right)$
$ \Rightarrow {\left( x \right)^2} - {\left( {\frac{y}{{10}}} \right)^2} = \left( {x + \frac{y}{{10}}} \right)\left( {x - \frac{y}{{10}}} \right).$
We can observe that we can apply the identity ${a^2} - {b^2} = \left( {a - b} \right)\left( {a + b} \right)$
$ \Rightarrow {\left( x \right)^2} - {\left( {\frac{y}{{10}}} \right)^2} = \left( {x + \frac{y}{{10}}} \right)\left( {x - \frac{y}{{10}}} \right).$
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