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Write the following difference of squares as a product of two binomials.
A
B
C
D
(9−G)(9+G)
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1
Recall the Difference of Squares formula: \(a^2 - b^2 = (a - b)(a + b)\), which allows you to factor expressions that are the difference between two perfect squares.
Identify the two perfect squares in the given expression. For example, if the expression is \(x^2 - 9\), recognize that \(x^2\) is a perfect square and \(9\) is a perfect square since \(9 = 3^2\).
Rewrite the expression in the form \(a^2 - b^2\), where \(a\) and \(b\) are the square roots of the two perfect squares identified.
Apply the difference of squares formula by writing the factored form as \((a - b)(a + b)\).
Check your factored expression by expanding it back using the distributive property to ensure it matches the original expression.