Question

simplifica: (6x²-7x+2)(8x²-18x+9) / (6x²-13x+6)(8x²-10x+3)​

Answer 1

Respuesta:

1

Explicación:

$\frac{(6x^{2}-7x+2)(8x^{2} -18x+9 )}{(6x^{2} -13x+6)(8x^{2} -10x+3)}$

Factorizando

$\frac{(6x^{2}-3x-4\\2)(8x^{2} -18x+9) }{(6x^{2} -4x-9x+6)(8x^{2} -4x-6x+3)}$

$\frac{(3x(2x-1)-1-2(2x-1))(2x(4x-3)-3(4x-3)}{(2x(3x-2)-3(x-2)) (4x(2x-1)-3(2x-1)}$

$\frac{(2x-1 )(3x-2)(4x-3)(2x-3)}{(3x-2)(2x-3)(2x-1)(4x-3)}$

Simplificando

$\frac{2x-3}{2x-3}$

1