Simplify 35^2-105+1

$3 \cdot 5^{2} - 10 \cdot 5 + 1$

Step 1

Simplify each term.

Raise $5$ to the power of $2$ .

$3 \cdot 25 - 10 \cdot 5 + 1$

Multiply $3$ by $25$ .

$75 - 10 \cdot 5 + 1$

Multiply $- 10$ by $5$ .

$75 - 50 + 1$

$75 - 50 + 1$

Step 2

Simplify by adding and subtracting.

Subtract $50$ from $75$ .

$25 + 1$

Add $25$ and $1$ .

$26$

$26$

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