Question

x(x+7)+(x+2)(x+3)(x+4)(x+5)​

Answer 1

Respuesta:

$x^{4}+ 14x^{3} +72x^{2} +161x+120$

Explicación paso a paso:

x(x+7)+(x+2)(x+3)(x+4)(x+5)​

$x^{2}+7x+( x^{2} +3x+2x+6)(x+4)(x+5)$

$x^{2} +7x+(x^{2} +5x+6)(x+4)(x+5)$

$x^{2} +7x+(x^{3}+4x^{2} +5x^{2} +20x+6x+24) (5+x)$

$x^{2} +7x+(x^{3} +9x^{2} +26x+24)(x+5)$

$x^{2} +7x+x^{4} +5x^{3} +9x^{3} +45x^{2} +26x^{2} +130x+24x+120$

$72x^{2} +161x+x^{4} +14x^{3} +120$

$x^{4}+ 14x^{3} +72x^{2} +161x+120$