Note the following square root calculations
The square root of the first term is denoted below:
Square Root of the Constant Piece = √9 = 3
Square Root of the Variable Piece (Divide exponents by 2) = x2÷2 = x
Our final square root term becomes 3x
The square root of the second term 4y2 is denoted below:
Square Root of the Constant Piece = √4 = 2
Square Root of the Variable Piece (Divide exponents by 2) = y2÷2 = y
Our final square root term becomes 2y
Since both square roots are integer constants and powers, 9x2 - 4y2 is in the difference of squares format
The formula for factoring the difference of squares is as follows:
a2 - b2 = (a - b)(a + b)In the expression you entered, the {a} term is 3x and the {b} term is 2y