Solve left(2-3right)left(2^5+2^43+2^33^2+{2}^{2}{3}^{2}+{2}^2{3}^3+2*{3}^4+{3}^5right)

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

Evaluate

$$-701$$

Solution Steps

Subtract 3 from 2 to get -1.

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

Calculate 2 to the power of 5 and get 32.

$$-\left(32+2^{4}\times 3+2^{3}\times 3^{2}+2^{2}\times 3^{2}+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Calculate 2 to the power of 4 and get 16.

$$-\left(32+16\times 3+2^{3}\times 3^{2}+2^{2}\times 3^{2}+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Multiply 16 and 3 to get 48.

$$-\left(32+48+2^{3}\times 3^{2}+2^{2}\times 3^{2}+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Add 32 and 48 to get 80.

$$-\left(80+2^{3}\times 3^{2}+2^{2}\times 3^{2}+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Calculate 2 to the power of 3 and get 8.

$$-\left(80+8\times 3^{2}+2^{2}\times 3^{2}+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Calculate 3 to the power of 2 and get 9.

$$-\left(80+8\times 9+2^{2}\times 3^{2}+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Multiply 8 and 9 to get 72.

$$-\left(80+72+2^{2}\times 3^{2}+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Add 80 and 72 to get 152.

$$-\left(152+2^{2}\times 3^{2}+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Calculate 2 to the power of 2 and get 4.

$$-\left(152+4\times 3^{2}+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Calculate 3 to the power of 2 and get 9.

$$-\left(152+4\times 9+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Multiply 4 and 9 to get 36.

$$-\left(152+36+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Add 152 and 36 to get 188.

$$-\left(188+2^{2}\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Calculate 2 to the power of 2 and get 4.

$$-\left(188+4\times 3^{3}+2\times 3^{4}+3^{5}\right)$$

Calculate 3 to the power of 3 and get 27.

$$-\left(188+4\times 27+2\times 3^{4}+3^{5}\right)$$

Multiply 4 and 27 to get 108.

$$-\left(188+108+2\times 3^{4}+3^{5}\right)$$

Add 188 and 108 to get 296.

$$-\left(296+2\times 3^{4}+3^{5}\right)$$

Calculate 3 to the power of 4 and get 81.

$$-\left(296+2\times 81+3^{5}\right)$$

Multiply 2 and 81 to get 162.

$$-\left(296+162+3^{5}\right)$$

Add 296 and 162 to get 458.

$$-\left(458+3^{5}\right)$$

Calculate 3 to the power of 5 and get 243.

$$-\left(458+243\right)$$

Add 458 and 243 to get 701.

$$-701$$

Factor

$$-701$$