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  • 14-05-2018
  • Mathematics
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factorise x^2-y^2/100

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skyluke89
skyluke89 skyluke89
  • 23-05-2018
The equation is the following
[tex]x^2- \frac{y^2}{100}[/tex]

This is a difference of two squares, the first one being the square of [tex]x[/tex], the second one being the square of [tex] \frac{y}{10} [/tex]. The difference of two squares can be factorized as
[tex]A^2 - B^2 = (A+B)(A-B)[/tex]

If we apply this rule to our equation, we find
[tex]x^2- \frac{y^2}{100}=(x+ \frac{y}{10})(x- \frac{y}{10}) [/tex]
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