Solve 16*16*16-21*21*21/16^2+16*21+21^2=

$$\frac { 16 \times 16 \times 16 - 21 \times 21 \times 21 } { 16 ^ { 2 } + 16 \times 21 + 21 ^ { 2 } } =$$

Evaluate

$$-5$$

Solution Steps

Multiply 16 and 16 to get 256.

$$\frac{256\times 16-21\times 21\times 21}{16^{2}+16\times 21+21^{2}}$$

Multiply 256 and 16 to get 4096.

$$\frac{4096-21\times 21\times 21}{16^{2}+16\times 21+21^{2}}$$

Multiply 21 and 21 to get 441.

$$\frac{4096-441\times 21}{16^{2}+16\times 21+21^{2}}$$

Multiply 441 and 21 to get 9261.

$$\frac{4096-9261}{16^{2}+16\times 21+21^{2}}$$

Subtract 9261 from 4096 to get -5165.

$$\frac{-5165}{16^{2}+16\times 21+21^{2}}$$

Calculate 16 to the power of 2 and get 256.

$$\frac{-5165}{256+16\times 21+21^{2}}$$

Multiply 16 and 21 to get 336.

$$\frac{-5165}{256+336+21^{2}}$$

Add 256 and 336 to get 592.

$$\frac{-5165}{592+21^{2}}$$

Calculate 21 to the power of 2 and get 441.

$$\frac{-5165}{592+441}$$

Add 592 and 441 to get 1033.

$$\frac{-5165}{1033}$$

Divide -5165 by 1033 to get -5.

$$-5$$

Factor

$$-5$$