What is 65^2+2\times 65\times 35+35^2 ?

The solution to 65^2+2\times 65\times 35+35^2 is 10000

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65^2+2\times 65\times 35+35^2

6 5^{2} + 2 \cdot 65 \cdot 35 + 3 5^{2}

10000

Solution steps

6 5^{2} + 2 \cdot 65 \cdot 35 + 3 5^{2}

Follow the PEMDAS order of operations

Calculate exponents

6 5^{2} : 4225

= 4225 + 2 \cdot 65 \cdot 35 + 3 5^{2}

Calculate exponents

3 5^{2} : 1225

= 4225 + 2 \cdot 65 \cdot 35 + 1225

Multiply and divide (left to right)

2 \cdot 65 \cdot 35 : 4550

= 4225 + 4550 + 1225

Add and subtract (left to right)

4225 + 4550 + 1225 : 10000

= 10000

- 1^{2} + (2 \times (- 1)) - 1

5 + 2 (- 1)

- 4 (0)^{2} + 6

5 \cdot 3 0^{2}

4 \frac{5}{3} - 2 + 2 \frac{4}{5}

What is 65^2+2\times 65\times 35+35^2 ?
The solution to 65^2+2\times 65\times 35+35^2 is 10000