


Factoring A Difference Between Two SquaresExamine the problem / expression below: 9 + j^{4} Again, the first step at factoring this expression is to verify that the expression is a Difference Between Two Squares.
Unlike the last problem, the first term is negative. To make factoring this expression easier, simply switch the two terms so that the negative term is second. 9 + j^{4} Now, continue factoring as in the last problem. Write two sets of open parentheses: ( )( ) Find the square root of the first term, j^{4}. Write the result, j^{2}, on the left inside of each set of parentheses. ( j^{2} )( j^{2} ) Find the square root of the second term, 9. Write the result, 3, on the right inside of each set of parentheses. ( j^{2} 3)( j^{2} 3) Now write a plus sign in the middle of the first set of parentheses and write a minus sign in the middle of the second set of parentheses. ( j^{2} + 3)( j^{2}  3) Proceed to the next page for links to calculators, worksheets, and other resources for this lesson. 

