Solve {l}{11(8x^{5}+2x^{4}+3x^{3}-2x^{2}+x-8)+10x^5-3x^4+2x^3+718x^2}{+9x-161}

$$\left. \begin{array} { l } { 11 ( 8 x ^ { 5 } + 2 x ^ { 4 } + 3 x ^ { 3 } - 2 x ^ { 2 } + x - 8 ) + 10 x ^ { 5 } - 3 x ^ { 4 } + 2 x ^ { 3 } + 718 x ^ { 2 } } \\ { + 9 x - 161 } \end{array} \right.$$

Evaluate

$$98x^{5}+19x^{4}+35x^{3}+696x^{2}+20x-249$$

Solution Steps

Use the distributive property to multiply 11 by 8x^{5}+2x^{4}+3x^{3}-2x^{2}+x-8.

$$88x^{5}+22x^{4}+33x^{3}-22x^{2}+11x-88+10x^{5}-3x^{4}+2x^{3}+718x^{2}+9x-161$$

Combine 88x^{5} and 10x^{5} to get 98x^{5}.

$$98x^{5}+22x^{4}+33x^{3}-22x^{2}+11x-88-3x^{4}+2x^{3}+718x^{2}+9x-161$$

Combine 22x^{4} and -3x^{4} to get 19x^{4}.

$$98x^{5}+19x^{4}+33x^{3}-22x^{2}+11x-88+2x^{3}+718x^{2}+9x-161$$

Combine 33x^{3} and 2x^{3} to get 35x^{3}.

$$98x^{5}+19x^{4}+35x^{3}-22x^{2}+11x-88+718x^{2}+9x-161$$

Combine -22x^{2} and 718x^{2} to get 696x^{2}.

$$98x^{5}+19x^{4}+35x^{3}+696x^{2}+11x-88+9x-161$$

Combine 11x and 9x to get 20x.

$$98x^{5}+19x^{4}+35x^{3}+696x^{2}+20x-88-161$$

Subtract 161 from -88 to get -249.

$$98x^{5}+19x^{4}+35x^{3}+696x^{2}+20x-249$$

Expand

$$98x^{5}+19x^{4}+35x^{3}+696x^{2}+20x-249$$

Solution Steps

Use the distributive property to multiply 11 by 8x^{5}+2x^{4}+3x^{3}-2x^{2}+x-8.

$$88x^{5}+22x^{4}+33x^{3}-22x^{2}+11x-88+10x^{5}-3x^{4}+2x^{3}+718x^{2}+9x-161$$

Combine 88x^{5} and 10x^{5} to get 98x^{5}.

$$98x^{5}+22x^{4}+33x^{3}-22x^{2}+11x-88-3x^{4}+2x^{3}+718x^{2}+9x-161$$

Combine 22x^{4} and -3x^{4} to get 19x^{4}.

$$98x^{5}+19x^{4}+33x^{3}-22x^{2}+11x-88+2x^{3}+718x^{2}+9x-161$$

Combine 33x^{3} and 2x^{3} to get 35x^{3}.

$$98x^{5}+19x^{4}+35x^{3}-22x^{2}+11x-88+718x^{2}+9x-161$$

Combine -22x^{2} and 718x^{2} to get 696x^{2}.

$$98x^{5}+19x^{4}+35x^{3}+696x^{2}+11x-88+9x-161$$

Combine 11x and 9x to get 20x.

$$98x^{5}+19x^{4}+35x^{3}+696x^{2}+20x-88-161$$

Subtract 161 from -88 to get -249.

$$98x^{5}+19x^{4}+35x^{3}+696x^{2}+20x-249$$