9 dic 2007

Diferencia de cubos

27x3 - 8y3
= (3x)3 – (2y)3
= (3x – 2y) (9x2 + 6xy + 4y2)

x9 – y12
= (x3)3 – (y4)3
= (x3- y4)(x6+x3y4 + y8)

y3-23
= (y – 2)(y2 + 2y + y2)

x3y3 – 1
= (xy - 1)(x2y2 + xy + 1)

m3 – 8n3
= (m- 2n)(m2 + 2nm + 4n2)

Suma de cubo

27x3 + 8y3
= (3x)3 + (2y)3
= (3x + 2y) (9x2 - 6xy + 4y2)

x9 + y12
= (x3)3 + (y4)3
= (x3+ y4)(x6 - x3y4 + y8)

y3+ 23
= (y + 2)(y2 - 2y + y2)

x3y3 + 1
= (xy + 1)(x2y2 - xy + 1)

m3 + 8n3
= (m+ 2n)(m2 - 2nm + 4n2)

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