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Explain Why an Expression Is a Perfect Square

9.1.4 Explain Why an Expression Is a Perfect Square

9.1.4 • Explain Why an Expression Is a Perfect Square

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1.

Explain why it makes sense to call the expression x2+20x+100x2+20x+100 a perfect square.

Compare your answer:

It is equivalent to (x+10)2(x+10)2, so it is a factor squared.

2.

Solve x2+20x+100=81x2+20x+100=81.

Compare your answer:

x=−1x=−1 and x=−19x=−19