9.2.1 Different Forms of Perfect Squares

Algebra 19.2.1 Different Forms of Perfect Squares

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9.2.1 • Different Forms of Perfect Squares

Warm Up

Select three expressions that are perfect squares.

$(x + 5) (5 + x)$
$(x + 5) (x - 5)$
$(x - 3)^{2}$
$x - 3^{2}$
$x^{2} + 8 x + 16$
$x^{2} + 10 x + 20$

The correct answers are: $(x + 5) (5 + x)$ , $(x - 3)^{2}$ , $x^{2} + 8 x + 16$ .

Explain how you know the expressions you selected are perfect squares.

Compare your answer:

Because each of them is the product of an expression and itself. $x^{2} + 8 x + 16$ is equivalent to $(x + 4) (x + 4)$ .

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