suppose you buy 158,000 home. you found out the bank offers 30 year loan at 6.5% APR. What will he your monthly payment
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Remember that the sum of tow cubes identity is: 
So, to create our expression<span>, containing at least two variables, that can be factored using the sum of two cubes, we just need to replace </span>
and 
with tow monomials with a different variable:
and 
Lets replace those values in our identity:
Now that we have our expression, lets factor it using the sum of two cubes identity:
To verify if the factored form of our expression (right hand side) is equivalent to the original form (left hand side), we are going to expand the right hand side:
Since both sides of the equation are equal, we can conduce that the factored form of our expression is equivalent to the original expression.
So, to create our expression<span>, containing at least two variables, that can be factored using the sum of two cubes, we just need to replace </span>
Lets replace those values in our identity:
Now that we have our expression, lets factor it using the sum of two cubes identity:
To verify if the factored form of our expression (right hand side) is equivalent to the original form (left hand side), we are going to expand the right hand side:
Since both sides of the equation are equal, we can conduce that the factored form of our expression is equivalent to the original expression.