Solve 39x^3[50x^2-98]div26x^2[5x+1]

$$39 x ^ { 3 } [ 50 x ^ { 2 } - 98 ] \div 26 x ^ { 2 } [ 5 x + 1 ]$$

Evaluate

$$3\left(5x+1\right)\left(25x^{2}-49\right)x^{5}$$

Solution Steps

Use the distributive property to multiply 39x^{3} by 50x^{2}-98.

$$\frac{1950x^{5}-3822x^{3}}{26}x^{2}\left(5x+1\right)$$

Express \frac{1950x^{5}-3822x^{3}}{26}x^{2} as a single fraction.

$$\frac{\left(1950x^{5}-3822x^{3}\right)x^{2}}{26}\left(5x+1\right)$$

Express \frac{\left(1950x^{5}-3822x^{3}\right)x^{2}}{26}\left(5x+1\right) as a single fraction.

$$\frac{\left(1950x^{5}-3822x^{3}\right)x^{2}\left(5x+1\right)}{26}$$

Use the distributive property to multiply 1950x^{5}-3822x^{3} by x^{2}.

$$\frac{\left(1950x^{7}-3822x^{5}\right)\left(5x+1\right)}{26}$$

Use the distributive property to multiply 1950x^{7}-3822x^{5} by 5x+1.

$$\frac{9750x^{8}+1950x^{7}-19110x^{6}-3822x^{5}}{26}$$

Expand

$$375x^{8}+75x^{7}-735x^{6}-147x^{5}$$

Solution Steps

Use the distributive property to multiply 39x^{3} by 50x^{2}-98.

$$\frac{1950x^{5}-3822x^{3}}{26}x^{2}\left(5x+1\right)$$

Express \frac{1950x^{5}-3822x^{3}}{26}x^{2} as a single fraction.

$$\frac{\left(1950x^{5}-3822x^{3}\right)x^{2}}{26}\left(5x+1\right)$$

Express \frac{\left(1950x^{5}-3822x^{3}\right)x^{2}}{26}\left(5x+1\right) as a single fraction.

$$\frac{\left(1950x^{5}-3822x^{3}\right)x^{2}\left(5x+1\right)}{26}$$

Use the distributive property to multiply 1950x^{5}-3822x^{3} by x^{2}.

$$\frac{\left(1950x^{7}-3822x^{5}\right)\left(5x+1\right)}{26}$$

Use the distributive property to multiply 1950x^{7}-3822x^{5} by 5x+1.

$$\frac{9750x^{8}+1950x^{7}-19110x^{6}-3822x^{5}}{26}$$