Question

Desarrolla los siguientes productos notables. (Cubo de la suma de dos cantidades, cubo de la diferencia de dos cantidades, binomios conjugados)
(3m + 4n) 3 =

(6x – 10)3 =


(5x + 1)3 =

(2p – 2y)3 =



(5x2 + 3y) (5x2 – 3y) =


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Answer 1

Explicación paso a paso:

(3m + 4n) ³

=(3m+4n)(3m+4n)(3n+4m)

=(9m²+12mn+12mn+16n²)(3m+4n)

=27m³+36m²n+36m²n+48mn²+48mn²+64n³

=27m³+72m²n+96mn²+64n²

(6x – 10)³=

=(6x – 10)(6x – 10)(6x – 10)

=(36x²-60x-60x+100)(6x – 10)

=216x³-360x²-360x²+600x-360x²+600x+600x-1000

=216x³-1080x²+1800x-1000

(5x + 1)³

=(5x + 1)(5x + 1)(5x + 1)

=(25x²+5x+5x+1)(5x + 1)

=125x³+25x²+25x²+5x+25x²+5x+5x+1

=125x³+75x²+15x+1

(2p – 2y)³ =

(2p – 2y)(2p – 2y)(2p – 2y)

=(4p²-4py-4py+4y²)(2p – 2y)

=8p³-8p²y-8p²y+8py²-8p²y+8py²+8py²-8y³

=8p³-24p²y+24py²-8y³

Answer 2

Ahí está la respuesta y es la correcta