Solve 49^2+26^2-2*49*26*-1

$${ 49 }^{ 2 } + { 26 }^{ 2 } -2 \times 49 \times 26 \times -1$$

Evaluate

$$5625$$

Solution Steps

Calculate 49 to the power of 2 and get 2401.

$$2401+26^{2}-2\times 49\times 26\left(-1\right)$$

Calculate 26 to the power of 2 and get 676.

$$2401+676-2\times 49\times 26\left(-1\right)$$

Add 2401 and 676 to get 3077.

$$3077-2\times 49\times 26\left(-1\right)$$

Multiply 2 and 49 to get 98.

$$3077-98\times 26\left(-1\right)$$

Multiply 98 and 26 to get 2548.

$$3077-2548\left(-1\right)$$

Multiply 2548 and -1 to get -2548.

$$3077-\left(-2548\right)$$

The opposite of -2548 is 2548.

$$3077+2548$$

Add 3077 and 2548 to get 5625.

$$5625$$

Factor

$$3^{2}\times 5^{4}$$