Solve 346078656+1/2left(5-1right)120^2471+1/2(5-1)119^2*760

$$346078656+ \frac{ 1 }{ 2 } \left( 5-1 \right) { 120 }^{ 2 } 471+ \frac{ 1 }{ 2 } (5-1) { 119 }^{ 2 } \times 760$$

Evaluate

$$381168176$$

Solution Steps

Subtract 1 from 5 to get 4.

$$346078656+\frac{1}{2}\times 4\times 120^{2}\times 471+\frac{1}{2}\left(5-1\right)\times 119^{2}\times 760$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$346078656+\frac{4}{2}\times 120^{2}\times 471+\frac{1}{2}\left(5-1\right)\times 119^{2}\times 760$$

Divide 4 by 2 to get 2.

$$346078656+2\times 120^{2}\times 471+\frac{1}{2}\left(5-1\right)\times 119^{2}\times 760$$

Calculate 120 to the power of 2 and get 14400.

$$346078656+2\times 14400\times 471+\frac{1}{2}\left(5-1\right)\times 119^{2}\times 760$$

Multiply 2 and 14400 to get 28800.

$$346078656+28800\times 471+\frac{1}{2}\left(5-1\right)\times 119^{2}\times 760$$

Multiply 28800 and 471 to get 13564800.

$$346078656+13564800+\frac{1}{2}\left(5-1\right)\times 119^{2}\times 760$$

Add 346078656 and 13564800 to get 359643456.

$$359643456+\frac{1}{2}\left(5-1\right)\times 119^{2}\times 760$$

Subtract 1 from 5 to get 4.

$$359643456+\frac{1}{2}\times 4\times 119^{2}\times 760$$

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$359643456+\frac{4}{2}\times 119^{2}\times 760$$

Divide 4 by 2 to get 2.

$$359643456+2\times 119^{2}\times 760$$

Calculate 119 to the power of 2 and get 14161.

$$359643456+2\times 14161\times 760$$

Multiply 2 and 14161 to get 28322.

$$359643456+28322\times 760$$

Multiply 28322 and 760 to get 21524720.

$$359643456+21524720$$

Add 359643456 and 21524720 to get 381168176.

$$381168176$$

Factor

$$2^{4}\times 23823011$$