Solve N30^2+28^2-2*30*28*1/2

$$N 30 ^ { 2 } + 28 ^ { 2 } - 2 \times 30 \times 28 \cdot \frac { 1 } { 2 }$$

Evaluate

$$900N-56$$

Solution Steps

Calculate 30 to the power of 2 and get 900.

$$N\times 900+28^{2}-2\times 30\times 28\times \frac{1}{2}$$

Calculate 28 to the power of 2 and get 784.

$$N\times 900+784-2\times 30\times 28\times \frac{1}{2}$$

Multiply 2 and 30 to get 60.

$$N\times 900+784-60\times 28\times \frac{1}{2}$$

Multiply 60 and 28 to get 1680.

$$N\times 900+784-1680\times \frac{1}{2}$$

Multiply 1680 and \frac{1}{2} to get \frac{1680}{2}.

$$N\times 900+784-\frac{1680}{2}$$

Divide 1680 by 2 to get 840.

$$N\times 900+784-840$$

Subtract 840 from 784 to get -56.

$$N\times 900-56$$

Factor

$$4\left(225N-14\right)$$

Solution Steps

Factor out 4.

$$4\left(225N-14\right)$$

Consider 225N+196-210. Multiply and combine like terms.

$$225N-14$$

Rewrite the complete factored expression.

$$4\left(225N-14\right)$$