Question

binomio al cubo (2x + 1) ³ (5-4)³​

Answer 1

1. resolvemos el binomio al cubo de cada uno

a)

${(2x + 1)}^{3}$

$( {2x})^{3} + 3 \times(2x) {}^{2} \times 1 + 3 \times 2x \times {1}^{2} + {1}^{3}$

${8x}^{3} + 3 \times {4x}^{2} + 6x \times 1 + 1$

${8x}^{3} + {12x}^{2} + 6x + 1$

b)

${(5 - 4)}^{3}$

${(1)}^{3}$

$1$

2. resolvemos el producto implicado

${(2x + 1)}^{3} \times {(5 - 4)}^{3}$

$( {8x}^{3} + 12{x}^{2} + 6x + 1) \times (1)$

${8x}^{3} + {12x}^{2} + 6x + 1$