Factor 9X^2-4Y^2

Factor 9X^2-4Y^2
Factor 9x2 - 4y2

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

Our factored expression using the difference of squares becomes:

(3x + 2y)(3x - 2y)

Marcus Vance
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Marcus Vance

Marcus Vance is a cybersecurity auditor and technology writer dedicated to educating the public about online safety, data privacy regulations, enterprise security, and emerging cyber threats.