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Removing (Expanding) Double Brackets

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Removing (Expanding) Double Brackets. Menu. A parking space has to be 5 metres longer than the vehicle’s length and 1 metre wider than its length !. x. x. 1. x. x. x. 5. x. x. Menu. I need an expression for the AREA of the parking space. x + 5. x. 5. - PowerPoint PPT Presentation

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Page 1: Removing (Expanding) Double Brackets

1Menu

Page 2: Removing (Expanding) Double Brackets

2

xx

x

xx

A parking space has to be 5 metres longer than the vehicle’s length and 1 metre wider than its length !

x 5

x

1

Menu

Page 3: Removing (Expanding) Double Brackets

3

x 5

x

1

x + 5

x + 1

Area = Length x Width

= ( x + 5 )( x + 1 )

x2 5x

x 5

x2 5x

x 5

F irst

O uter

I nner

L ast+ + +

Don’t forget to simplify the two middle terms !

6xMenu

I need an expression for the AREA of the parking space.

Page 4: Removing (Expanding) Double Brackets

4

+ × + = +

- × - = +

- × + = -

+ × - = -

( x + 3 )( x + 4 )

X2 4X+

F O I L

3X+ 12+

X2 + 7X + 12

Menu

Page 5: Removing (Expanding) Double Brackets

5

+ × + = +

- × - = +

- × + = -

+ × - = -

( x + 6 )( x + 2 )

X2 2X+

F O I L

6X+ 12+

X2 + 8X + 12

Menu

Page 6: Removing (Expanding) Double Brackets

6

+ × + = +

- × - = +

- × + = -

+ × - = -

( x + 3 )( x - 7 )

X2 7X-

F O I L

3X+ 21-

X2 - 4X - 21

Menu

Page 7: Removing (Expanding) Double Brackets

7

+ × + = +

- × - = +

- × + = -

+ × - = -

( x - 8 )( x + 2 )

X2 2X+

F O I L

8X- 16-

X2 - 6X - 16

Menu

Page 8: Removing (Expanding) Double Brackets

8

+ × + = +

- × - = +

- × + = -

+ × - = -

( x - 4 )( x - 7 )

X2 7X-

F O I L

4X- 28+

X2 - 11X + 28

Menu