Solve (36+32+16+16)*(36*16-32*18)^2/(36+32)*(36+16)*(32+16)*(16+16)

$$\frac { ( 36 + 32 + 16 + 16 ) \times ( 36 \times 16 - 32 \times 18 ) ^ { 2 } } { ( 36 + 32 ) \times ( 36 + 16 ) \times ( 32 + 16 ) \times ( 16 + 16 ) }$$

Evaluate

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Solution Steps

Add 36 and 32 to get 68.

$$\frac{\left(68+16+16\right)\left(36\times 16-32\times 18\right)^{2}}{\left(36+32\right)\left(36+16\right)\left(32+16\right)\left(16+16\right)}$$

Add 68 and 16 to get 84.

$$\frac{\left(84+16\right)\left(36\times 16-32\times 18\right)^{2}}{\left(36+32\right)\left(36+16\right)\left(32+16\right)\left(16+16\right)}$$

Add 84 and 16 to get 100.

$$\frac{100\left(36\times 16-32\times 18\right)^{2}}{\left(36+32\right)\left(36+16\right)\left(32+16\right)\left(16+16\right)}$$

Multiply 36 and 16 to get 576.

$$\frac{100\left(576-32\times 18\right)^{2}}{\left(36+32\right)\left(36+16\right)\left(32+16\right)\left(16+16\right)}$$

Multiply 32 and 18 to get 576.

$$\frac{100\left(576-576\right)^{2}}{\left(36+32\right)\left(36+16\right)\left(32+16\right)\left(16+16\right)}$$

Subtract 576 from 576 to get 0.

$$\frac{100\times 0^{2}}{\left(36+32\right)\left(36+16\right)\left(32+16\right)\left(16+16\right)}$$

Calculate 0 to the power of 2 and get 0.

$$\frac{100\times 0}{\left(36+32\right)\left(36+16\right)\left(32+16\right)\left(16+16\right)}$$

Multiply 100 and 0 to get 0.

$$\frac{0}{\left(36+32\right)\left(36+16\right)\left(32+16\right)\left(16+16\right)}$$

Add 36 and 32 to get 68.

$$\frac{0}{68\left(36+16\right)\left(32+16\right)\left(16+16\right)}$$

Add 36 and 16 to get 52.

$$\frac{0}{68\times 52\left(32+16\right)\left(16+16\right)}$$

Multiply 68 and 52 to get 3536.

$$\frac{0}{3536\left(32+16\right)\left(16+16\right)}$$

Add 32 and 16 to get 48.

$$\frac{0}{3536\times 48\left(16+16\right)}$$

Multiply 3536 and 48 to get 169728.

$$\frac{0}{169728\left(16+16\right)}$$

Add 16 and 16 to get 32.

$$\frac{0}{169728\times 32}$$

Multiply 169728 and 32 to get 5431296.

$$\frac{0}{5431296}$$

Zero divided by any non-zero number gives zero.

$$0$$

Factor

$$0$$