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= x2 + 9 - 6x
b
a
b
a
=    x 2   +   (-3) 2   +   2  x  (-3) =
a = x          b = (-3)
(x + (-3))2 =
(a + b)2 = a2 + b2 + 2ab
Quadrat de la suma
Igualtats notables
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Transcript

Igualtats notables

Quadrat de la suma

(x + (-3))2 =

a = x b = (-3)

= x 2 + (-3) 2 + 2 x (-3) =

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

a

a

= x2 + 9 - 6x

b

b

Igualtats notables

Quadrat de la suma

(3y + 2z)2 =

a = 3y b = 2z

= (3y) 2 + (2z) 2 + 2 · 3y · 2z =

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

a

a

= 9y2 + 4z2 + 12yz

b

b

Igualtats notables

Quadrat de la diferència

(-3y - 2z)2 =

a = -3y b = 2z

= (-3y) 2 + (2z) 2 - 2 · (-3y) · 2z =

a

a

= 9y2 + 4z2 - (-12)yz =

b

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

b

= 9y2 + 4z2 + 12yz

Igualtats notables

Suma per diferència

(4d + 2z)(4d - 2z) =

a = 4d b = 2z

= (4d) 2 - (2z) 2 =

a

= 16d2 - 4z2 =

b

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

= 4(4d2 - z2 )

Igualtats notables

Suma per diferència

(-2x + z)(-2x - z) =

a = -2x b = z

= (-2x) 2 - z 2 =

a

= 4x2 - z2

b

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

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