Solve (-104d^8+64d^7-86d^6+96d)div2d^4

$$( - 104 d ^ { 8 } + 64 d ^ { 7 } - 86 d ^ { 6 } + 96 d ) \div 2 d ^ { 4 }$$

Evaluate

$$d^{5}\left(48-43d^{5}+32d^{6}-52d^{7}\right)$$

Solution Steps

Divide each term of -104d^{8}+64d^{7}-86d^{6}+96d by 2 to get -52d^{8}+32d^{7}-43d^{6}+48d.

$$\left(-52d^{8}+32d^{7}-43d^{6}+48d\right)d^{4}$$

Use the distributive property to multiply -52d^{8}+32d^{7}-43d^{6}+48d by d^{4}.

$$-52d^{12}+32d^{11}-43d^{10}+48d^{5}$$

Expand

$$48d^{5}-43d^{10}+32d^{11}-52d^{12}$$

Solution Steps

Divide each term of -104d^{8}+64d^{7}-86d^{6}+96d by 2 to get -52d^{8}+32d^{7}-43d^{6}+48d.

$$\left(-52d^{8}+32d^{7}-43d^{6}+48d\right)d^{4}$$

Use the distributive property to multiply -52d^{8}+32d^{7}-43d^{6}+48d by d^{4}.

$$-52d^{12}+32d^{11}-43d^{10}+48d^{5}$$