Igualtats notables
juan antonio ramirez
Created on April 6, 2024
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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