Pearson Algebra 1 Common Core, 2011
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Pearson Algebra 1 Common Core, 2011 View details
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Exercise 12 Page 539

The product of the sum and difference of the same two terms is the difference of their squares.

9g^2-25

Practice makes perfect

Recall that the product of the sum and difference of the same two terms is the difference of their squares. ( a + b)( a - b)= a^2-b^2 Let's use this formula to simplify the given product.

(3g-5)(3g+5)
( 3g + 5)( 3g - 5)
( 3g )^2-5^2
3^2g^2-5^2
9g^2-25

Notice that the expression is already written in standard form, since the terms are arranged by degree in descending order.