Question

completar (en la 9 no va la x) ayuda pls

Answer 1

Recuerda que:

${(x - y)}^{3} = {x}^{3} - 3 {x}^{2}y + 3x {y}^{2} - {y}^{3}$

${(x + y)}^{3} = {x}^{3} + 3 {x}^{2} y + 3x {y}^{2} + {y}^{3}$

9)

${ (\frac{1}{2}x - 2) }^{?} = \frac{1}{ {2}^{3} } {x}^{3} - (3)( \frac{1}{ {2}^{2} } )(2) {x}^{2} + (3)( \frac{1}{2} )( {2}^{2} )x - {2}^{3}$

${( \frac{1}{2}x - 2) }^{3} = \frac{1}{8} {x}^{3} - \frac{3}{2} {x}^{2} + 6x - 8$

10)

$0.001 = \frac{1}{1000} = \frac{1}{ {10}^{3} }$

...

${(4x - \frac{1}{10}) }^{3} = {64x}^{3} - (3)( {4}^{2} )( \frac{1}{ {10}^{} } ) {x}^{2} + (3)(4)( \frac{1}{ {10}^{2} } )x - 0.001$

${(4x - 0.1)}^{3} = 64 {x}^{3} - 4.8 {x}^{2} + 0.12 {x}^{2} - 0.001$

11)

${ ({2x}^{m} + 7) }^{3} = { ({2x}^{m}) }^{3} + (3)( { {2x}^{m}) }^{2}(7) + (3) ({2x}^{m} )( {7}^{2} ) + {7}^{3}$

${ ({2x}^{m} + 7) }^{3} = {8x}^{3m} + 84 {x}^{2m} + 294 {x}^{m} + 343$