Solve =frac{(4-3)(4+3)+8-sqrt{144}+(sqrt{36})^{2}+1^{2}}{(25)^{1/2}-(2^2-1^2)}-8-(-3^2+4)*(-2)+(2*5)+2^2/2-87

$$= \frac { ( 4 - 3 ) ( 4 + 3 ) + 8 - \sqrt { 144 } + ( \sqrt { 36 } ) ^ { 2 } + 1 ^ { 2 } } { ( 25 ) ^ { \frac { 1 } { 2 } } - ( 2 ^ { 2 } - 1 ^ { 2 } ) } - \frac { 8 - ( - 3 ^ { 2 } + 4 ) \cdot ( - 2 ) + ( 2 \cdot 5 ) + 2 ^ { 2 } } { 2 } - 87$$

Evaluate

$$-73$$

Solution Steps

Subtract 3 from 4 to get 1.

$$\frac{1\left(4+3\right)+8-\sqrt{144}+\left(\sqrt{36}\right)^{2}+1^{2}}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Add 4 and 3 to get 7.

$$\frac{1\times 7+8-\sqrt{144}+\left(\sqrt{36}\right)^{2}+1^{2}}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Multiply 1 and 7 to get 7.

$$\frac{7+8-\sqrt{144}+\left(\sqrt{36}\right)^{2}+1^{2}}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Add 7 and 8 to get 15.

$$\frac{15-\sqrt{144}+\left(\sqrt{36}\right)^{2}+1^{2}}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Calculate the square root of 144 and get 12.

$$\frac{15-12+\left(\sqrt{36}\right)^{2}+1^{2}}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Subtract 12 from 15 to get 3.

$$\frac{3+\left(\sqrt{36}\right)^{2}+1^{2}}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

The square of \sqrt{36} is 36.

$$\frac{3+36+1^{2}}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Add 3 and 36 to get 39.

$$\frac{39+1^{2}}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Calculate 1 to the power of 2 and get 1.

$$\frac{39+1}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Add 39 and 1 to get 40.

$$\frac{40}{25^{\frac{1}{2}}-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Calculate 25 to the power of \frac{1}{2} and get 5.

$$\frac{40}{5-\left(2^{2}-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Calculate 2 to the power of 2 and get 4.

$$\frac{40}{5-\left(4-1^{2}\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Calculate 1 to the power of 2 and get 1.

$$\frac{40}{5-\left(4-1\right)}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Subtract 1 from 4 to get 3.

$$\frac{40}{5-3}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Subtract 3 from 5 to get 2.

$$\frac{40}{2}-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Divide 40 by 2 to get 20.

$$20-\frac{8-\left(-3^{2}+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Calculate 3 to the power of 2 and get 9.

$$20-\frac{8-\left(-9+4\right)\left(-2\right)+2\times 5+2^{2}}{2}-87$$

Add -9 and 4 to get -5.

$$20-\frac{8-\left(-5\left(-2\right)\right)+2\times 5+2^{2}}{2}-87$$

Multiply -5 and -2 to get 10.

$$20-\frac{8-10+2\times 5+2^{2}}{2}-87$$

Subtract 10 from 8 to get -2.

$$20-\frac{-2+2\times 5+2^{2}}{2}-87$$

Multiply 2 and 5 to get 10.

$$20-\frac{-2+10+2^{2}}{2}-87$$

Add -2 and 10 to get 8.

$$20-\frac{8+2^{2}}{2}-87$$

Calculate 2 to the power of 2 and get 4.

$$20-\frac{8+4}{2}-87$$

Add 8 and 4 to get 12.

$$20-\frac{12}{2}-87$$

Divide 12 by 2 to get 6.

$$20-6-87$$

Subtract 6 from 20 to get 14.

$$14-87$$

Subtract 87 from 14 to get -73.

$$-73$$

Factor

$$-73$$