Can someone please help me factorize this one: 0.01y {}^(2) - (1)/(4)

Question

Can someone please help me factorize this one:

`0.01y {}^(2) - (1)/(4)`

Answer 1

First let us convert 0.01 into fraction:

`(y^(2))/(100) -(1)/(4)`

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

`((y)/(10))^(2)-((1)/(2))^(2)`

Now we use the property of :

`x^(2) -y^(2) =(x+y)(x-y)`

`((y)/(10) +(1)/(2) ) ((y)/(10) -(1)/(2) )`