How do you solve #3y^2-12=0#?
It is necessary to manipulate the equation so that the unknown variable (here,
To make a start, by inspection, it will be necessary to divide
This may be rearranged (by adding
Pull out the factors of the equation
This is a Difference of Two Squares problem -- with a slight disguise because it is multiplied by
The Difference of Two Squares is a case of Special Factoring.
By memorization, the Difference of Two Squares factors like this:
1) Factor out the 3 to see the perfect squares
2) Factor the Difference of the Two Squares
3) Set the factors equal to zero and solve for
Here's a video you can watch to see more about Special Factoring