Solve (2/7x^{5}-8/3x^{4}+2/7x^3)(4/91x^11+frac{3}{10}x^10-frac{5}{2}x^9)

$$( \frac { 2 } { 7 } x ^ { 5 } - \frac { 8 } { 3 } x ^ { 4 } + \frac { 2 } { 7 } x ^ { 3 } ) ( \frac { 4 } { 91 } x ^ { 11 } + \frac { 3 } { 10 } x ^ { 10 } - \frac { 5 } { 2 } x ^ { 9 } )$$

Evaluate

$$\frac{\left(3x^{2}-28x+3\right)\left(40x^{2}+273x-2275\right)x^{12}}{9555}$$

Solution Steps

Use the distributive property to multiply \frac{2}{7}x^{5}-\frac{8}{3}x^{4}+\frac{2}{7}x^{3} by \frac{4}{91}x^{11}+\frac{3}{10}x^{10}-\frac{5}{2}x^{9} and combine like terms.

$$\frac{8}{637}x^{16}-\frac{43}{1365}x^{15}-\frac{4783}{3185}x^{14}+\frac{709}{105}x^{13}-\frac{5}{7}x^{12}$$

Expand

$$\frac{8x^{16}}{637}-\frac{43x^{15}}{1365}-\frac{4783x^{14}}{3185}+\frac{709x^{13}}{105}-\frac{5x^{12}}{7}$$

Solution Steps

Use the distributive property to multiply \frac{2}{7}x^{5}-\frac{8}{3}x^{4}+\frac{2}{7}x^{3} by \frac{4}{91}x^{11}+\frac{3}{10}x^{10}-\frac{5}{2}x^{9} and combine like terms.

$$\frac{8}{637}x^{16}-\frac{43}{1365}x^{15}-\frac{4783}{3185}x^{14}+\frac{709}{105}x^{13}-\frac{5}{7}x^{12}$$