Remember:

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# Remember: - PowerPoint PPT Presentation

Remember:. +. +. “Neutral Pairs”. +. Introduction:. 1.  1. x.  x. 1. 1. 1. x. Area = 1  1 = 1 square unit. Area = 1  x = x square units. x 2.  x 2. x. x. Area = x  x = x 2 square units. 1. Example 1:. Simplify. (5x 2 + 2x – 5) + (-2x 2 + 3x + 1). = 3x 2.

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Presentation Transcript

Remember:

+

+

“Neutral Pairs”

+

Introduction:

1

 1

x

 x

1

1

1

x

Area = 1  1 = 1 square unit

Area = 1  x = x square units

x2

 x2

x

x

Area = x  x = x2 square units

1

Example 1:

Simplify. (5x2 + 2x – 5) + (-2x2 + 3x + 1)

= 3x2

+ 5x

 4

Visualize.

-1

x2

x2

x2

x2

x2

x

-1

-1

x

-1

-1

x

- x2

- x2

x

x

Look for neutral pairs to cancel

1

1

1

1

1

1

Example 2:

Simplify. (-2x2 + x – 5)  (-3x2 + 5x  6)

1

= (-2x2 + x – 5) +1(+3x2 5x + 6)

Visualize.

= x2 – 4x + 1

-1

- x2

- x2

-1

-1

x

-1

-1

- x

x2

x2

x2

x2

- x

- x

- x

- x

Look for neutral pairs to cancel