Question 31555
{{{ ((x^2 - 6x + 8)/(x^2-17x+70))*((x^2-15x+56)/(x^2 - 15x + 44)) }}}
Factor all parts
{{{ (((x-2)(x-4))/((x-7)(x-10))) * (((x-7)(x-8))/((x-4)(x-11))) }}}
Cross Cancel the (x-7) and (x-4)
{{{ ((x-2)/(x-10)) * ((x-8)/(x-11)) }}}
FOIL the Numerator
F: x * x = x^2
O: x * -8 = -8x
I: -2 * x = -2x
L: -2 * -8 = 16
Combine like terms: {{{ x^2-10x+16 }}}
FOIL the Denominator
F: x * x = x^2
O: x * -11 = -11x
I: -10 * x = -10x
L: -10 * -11 = 110
Combine Like terms: {{{ x^2-21x+110 }}}
{{{ (x^2-10x+16)/(x^2-21x+110) }}}