9.4.1 Perfect Squares with Coefficients Other than 1

Algebra 19.4.1 Perfect Squares with Coefficients Other than 1

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9.4.1 • Perfect Squares with Coefficients Other than 1

Warm Up

Elena says, " $(x + 3)^{2}$ can be expanded into $x^{2} + 6 x + 9$ . Likewise, $(2 x + 3)^{2}$ can be expanded into $4 x^{2} + 6 x + 9$ ."

Find an error in Elena's statement and correct the error. Show your reasoning.

Compare your answer:

$(2 x + 3)^{2}$ is not equivalent to $4 x^{2} + 6 x + 9$ .

Applying the distributive property to $(2 x + 3) (2 x + 3)$ gives $4 x^{2} + 6 x + 6 x + 9$ , which is $4 x^{2} + 12 x + 9$ .

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- Authors: Lynn Marecek, MaryAnne Anthony-Smith, Andrea Honeycutt Mathis, Jay Abramson, Sharon North, Amy Baldwin, Alyssa Howell
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