Question 246113
{{{(x-2)(x^2-8x+7)}}}


Multiply each term in the secnd set of parentheses by the first term in the first parentheses (x):

{{{x(x^2 - 8x +7)}}}
{{{x(x^2)- x(8x) + x(7)}}}
{{{x^3 - 8x^2 + 7x}}}


Next, multiply each term in the secnd set of parentheses by the second term in the first parentheses (-2):
 

{{{-2(x^2 - 8x +7)}}}
{{{-2(x^2)- (-2)(8x) + -2(7)}}}
{{{-2x^2 +16x - 14}}}



Add the first expression to the second:

{{{x^3 - 8x^2 + 7x}}} + {{{-2x^2 +16x - 14}}}



Simplify by combinig like terms:


{{{x^3 - 10x^2 + 23x - 14}}}

This is your answer.