Solve left(3d^2+7right)196d-98d^26d

$$\left( 3 { d }^{ 2 } +7 \right) 196d-98 { d }^{ 2 } 6d$$

Evaluate

$$1372d$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\left(3d^{2}+7\right)\times 196d-98d^{3}\times 6$$

Use the distributive property to multiply 3d^{2}+7 by 196.

$$\left(588d^{2}+1372\right)d-98d^{3}\times 6$$

Use the distributive property to multiply 588d^{2}+1372 by d.

$$588d^{3}+1372d-98d^{3}\times 6$$

Multiply 98 and 6 to get 588.

$$588d^{3}+1372d-588d^{3}$$

Combine 588d^{3} and -588d^{3} to get 0.

$$1372d$$

Expand

$$1372d$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\left(3d^{2}+7\right)\times 196d-98d^{3}\times 6$$

Use the distributive property to multiply 3d^{2}+7 by 196.

$$\left(588d^{2}+1372\right)d-98d^{3}\times 6$$

Use the distributive property to multiply 588d^{2}+1372 by d.

$$588d^{3}+1372d-98d^{3}\times 6$$

Multiply 98 and 6 to get 588.

$$588d^{3}+1372d-588d^{3}$$

Combine 588d^{3} and -588d^{3} to get 0.

$$1372d$$