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productos notables

frantematicas

Created on November 27, 2024

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Transcript

frantematicas

PRODUCTOS NOTABLES

(a + b)2 =

(a + b)·(a + b)

(a + b)2 =

+ a·b

a2

(a + b)·(a + b) =

(a + b)2 =

+b2

+ a·b

+ a·b

a2

(a + b)·(a + b) =

(a + b)2 =

+ 2a·b

+b2

+ a·b

+ a·b

a2

(a + b)·(a + b) =

(a + b)2 =

(a + b)2 = a2+ 2ab + b2

+ 2a·b

+b2

+ a·b

+ a·b

a2

(a + b)·(a + b) =

(a + b)2 =

exemplo

(a + b)2 = a2+ 2ab + b2

+ 2a·b

+b2

+ a·b

+ a·b

a2

(a + b)·(a + b) =

(a + b)2 =

(a - b)2 =

(a - b)·(a - b)

(a - b)2 =

(a - b)·(a - b)

(a - b)2 =

- a·b

a2

(a - b)·(a - b) =

(a - b)2 =

+b2

- a·b

- a·b

a2

(a - b)·(a - b) =

(a - b)2 =

- 2a·b

+b2

- a·b

- a·b

a2

(a - b)·(a - b) =

(a - b)2 =

(a - b)2 = a2- 2ab + b2

- 2a·b

+b2

- a·b

- a·b

a2

(a - b)·(a - b) =

(a - b)2 =

exemplo

(a - b)2 = a2- 2ab + b2

- 2a·b

+b2

- a·b

- a·b

a2

(a - b)·(a - b) =

(a - b)2 =

(a + b)·(a - b)

- a·b

a2

(a + b)·(a - b) =

- b2

+ a·b

- a·b

a2

(a + b)·(a - b) =

= 0

- b2

+ a·b

- a·b

a2

(a + b)·(a - b) =

exemplo

- b2

- a·b

- a·b

a2

(a + b)·(a - b) =

(a - b)2 = a2- b2

(a + b)(a - b) = a2- b2

(a - b)2 = a2- 2ab + b2

(a + b)2 = a2+ 2ab + b2

4+ 4x + x2

(2 + x)2 = 22+ 2·2·x + x2=

y2 - 6y + 9

(y - 3)2 = y2- 2·y·3 + 32=

25- a2

(5 + a)(5 - a) = 52- a2=

y2 + 6y + 9

(y - 3)2 = y2- 2·y·3 + 32=

4+ 4x + x2

(2 + x)2 = 22+ 2·2·x + x2=

25- a2

(5 + a)(5 - a) = 52- a2=