Solve 39y^3(50y^2-98)div26y^2(5y+7)

$$39 y ^ { 3 } ( 50 y ^ { 2 } - 98 ) \div 26 y ^ { 2 } ( 5 y + 7 )$$

Evaluate

$$3\left(5y-7\right)\left(5y+7\right)^{2}y^{5}$$

Solution Steps

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

$$\frac{1950y^{5}-3822y^{3}}{26}y^{2}\left(5y+7\right)$$

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

$$\frac{\left(1950y^{5}-3822y^{3}\right)y^{2}}{26}\left(5y+7\right)$$

Express \frac{\left(1950y^{5}-3822y^{3}\right)y^{2}}{26}\left(5y+7\right) as a single fraction.

$$\frac{\left(1950y^{5}-3822y^{3}\right)y^{2}\left(5y+7\right)}{26}$$

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

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

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

$$\frac{9750y^{8}+13650y^{7}-19110y^{6}-26754y^{5}}{26}$$

Expand

$$375y^{8}+525y^{7}-735y^{6}-1029y^{5}$$

Solution Steps

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

$$\frac{1950y^{5}-3822y^{3}}{26}y^{2}\left(5y+7\right)$$

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

$$\frac{\left(1950y^{5}-3822y^{3}\right)y^{2}}{26}\left(5y+7\right)$$

Express \frac{\left(1950y^{5}-3822y^{3}\right)y^{2}}{26}\left(5y+7\right) as a single fraction.

$$\frac{\left(1950y^{5}-3822y^{3}\right)y^{2}\left(5y+7\right)}{26}$$

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

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

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

$$\frac{9750y^{8}+13650y^{7}-19110y^{6}-26754y^{5}}{26}$$