←
Different Forms of Perfect Squares

9.2.1 Different Forms of Perfect Squares

9.2.1 • Different Forms of Perfect Squares

Warm Up

1.

Select three expressions that are perfect squares.

  1. ( x + 5 ) ( 5 + x ) (x+5)(5+x)
  2. ( x + 5 ) ( x − 5 ) (x+5)(x−5)
  3. ( x − 3 ) 2 (x−3 ) 2
  4. x − 3 2 x− 3 2
  5. x 2 + 8 x + 16 x 2 +8x+16
  6. x 2 + 10 x + 20 x 2 +10x+20

The correct answers are: (x+5)(5+x)(x+5)(5+x), (x−3)2(x−3)2, x2+8x+16x2+8x+16.

2.

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. x2+8x+16x2+8x+16 is equivalent to (x+4)(x+4)(x+4)(x+4).