Question

factorizar las siguientes expresiones: ​

Answer 1

a)

$= {16x}^{2} - 24x + 9 \\ = {(4x)}^{2} - 2(4)(3) + {3}^{2} \\ = {(4x - 3)}^{2}$

b)

$= {15x}^{3} + {3x}^{2} - 12x \\ = x( {15x}^{2} + 3x - 12) \\ = x(5x - 4)(x + 1)$

c)

$= { \frac{1}{9}x }^{4} - \frac{25}{16} \\ = {( \frac{1}{3} {x}^{2}) }^{2} - {( \frac{5}{4}) }^{2} \\ = ( { \frac{x}{3} }^{2} + \frac{5}{4} )( { \frac{x}{3} }^{2} - \frac{5}{4} ) \\ ( { \frac{x}{3} }^{2} + \frac{5}{4} )( \frac{x}{ \sqrt{3} } + \sqrt{ \frac{5}{4} } )( \frac{x}{ \sqrt{3} } - \sqrt{ \frac{5}{4} } )$

d)

$= {x}^{2} + 2x - 3x - 6 = 0 \\ = {x}^{2} -x - 6 \\ = (x - 3)(x + 2)$

Answer 2

Respuesta:

Explicación paso a paso:

a) (4x-3)(4x-3)

b) 3x(x-4+5x²)

c) 1/3x² - 5/4

d) (x-3)(x+2)