Solve (2x^3+12x^2+14x+13)(x^3+23x^2-4/3x+22)

$$( 2 x ^ { 3 } + 12 x ^ { 2 } + 14 x + 13 ) ( x ^ { 3 } + 23 x ^ { 2 } - \frac { 4 } { 3 } x + 22 )$$

Evaluate

$$2x^{6}+58x^{5}+\frac{862x^{4}}{3}+363x^{3}+\frac{1633x^{2}}{3}+\frac{872x}{3}+286$$

Solution Steps

Use the distributive property to multiply 2x^{3}+12x^{2}+14x+13 by x^{3}+23x^{2}-\frac{4}{3}x+22 and combine like terms.

$$2x^{6}+58x^{5}+\frac{862}{3}x^{4}+363x^{3}+\frac{1633}{3}x^{2}+\frac{872}{3}x+286$$

Expand

$$2x^{6}+58x^{5}+\frac{862x^{4}}{3}+363x^{3}+\frac{1633x^{2}}{3}+\frac{872x}{3}+286$$

Solution Steps

Use the distributive property to multiply 2x^{3}+12x^{2}+14x+13 by x^{3}+23x^{2}-\frac{4}{3}x+22 and combine like terms.

$$2x^{6}+58x^{5}+\frac{862}{3}x^{4}+363x^{3}+\frac{1633}{3}x^{2}+\frac{872}{3}x+286$$