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Vika [28.1K]
3 years ago
10

Can someone please help me factorize this one:

%7B1%7D%7B4%7D%20" id="TexFormula1" title="0.01y {}^{2} - \frac{1}{4} " alt="0.01y {}^{2} - \frac{1}{4} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
4 0

First let us convert 0.01 into fraction:

\frac{y^{2}}{100}  -\frac{1}{4}

Now we convert 100 and 4 into perfect squares as follows:

(\frac{y}{10})^{2}-(\frac{1}{2})^{2}

Now we use the property of :

x^{2} -y^{2} =(x+y)(x-y)

(\frac{y}{10} +\frac{1}{2} ) (\frac{y}{10} -\frac{1}{2} )

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