Question

Factorise :
${x}^{2} - \frac{ {y}^{2} }{100}$

Answer 1

Hey there!

$x^2 - \frac{y^2}{100}\\\text{we can write it as:}\\= (x)^2 - (\frac{y}{10})^2\\\\\text{Now using } a^2 - b^2 = (a+b)(a-b) \\=(x+\frac{y}{10})(x-\frac{y}{10})$

Answer 2

Answer :

Step-by-step explanation :

$\sf x {}^{2} - \frac{y}{100} \\ \\ \sf (x) {}^{2} - ( \frac{y}{10} ) {}^{2} \\ \\ \sf \underline{using \: identity : } \\ \\ \bf a {}^{2} - b {}^{2} = (a + b)(a - b) \\ \\ \sf (x) {}^{2} - ( \frac{y}{10} ) {}^{2} \\ \\ \sf (x + \frac{y}{10} )(x - \frac{y}{10} )$