Question

(x2 – 7x + 11)2 –(x – 2)(x – 3)(x – 4)(x – 5)

Answer 1

Respuesta:

1

Explicación paso a paso:

$(x^{2}-7x+11 )^{2} - (x-2)(x-3)(x-4)(x-5)$

$x^{4}+49x^{2} +121-14x^{3}+22x^{2} -154-(x^{2} -3x-2x+6)(x-4)(x-5)$$x^{4}+49x^{2}+121-14x^{3}+22x^{2}-154x-(x^{2} -5x+6)(x-4)(x-5)$$x^{4}+49x^{2}+121-14x^{3}+22x^{2} -154x-(x^{3}-4x^{2} -5x^{2} +20x+6x-24)(x-5)$$x^{4}+49x^{2} +121-14x^{3}+22x^{2} -154x-(x^{3}-9x^{2}+26x-24)(x-5)$$x^{4}+49x^{2} +121-14x^{3}+22x^{2} -154x-(x^{4}-5x^{3} -9x^{3} +45x^{2} +26x^{2} -130x-24x+120 )$$x^{4} +49x^{2} +121-14x^{3} +22x^{2} -154x-(x^{4}-14x^{3} +71x^{2} -154x+120 )$$x^{4} +49x^{2} +121-14x^{3} +22x^{2} -154x-120$$0+1$

$1$