\[{(2x-5)}^{2}\]
1
Use Square of Difference: (a−b)2=a2−2ab+b2{(a-b)}^{2}={a}^{2}-2ab+{b}^{2}.
(2x)2−2×2x×5+52{(2x)}^{2}-2\times 2x\times 5+{5}^{2}

2
Use Multiplication Distributive Property: (xy)a=xaya{(xy)}^{a}={x}^{a}{y}^{a}.
22x2−2×2x×5+52{2}^{2}{x}^{2}-2\times 2x\times 5+{5}^{2}

3
Simplify  22{2}^{2}  to  44.
4x2−2×2x×5+524{x}^{2}-2\times 2x\times 5+{5}^{2}

4
Simplify  52{5}^{2}  to  2525.
4x2−2×2x×5+254{x}^{2}-2\times 2x\times 5+25

5
Simplify  2×2x×52\times 2x\times 5  to  20x20x.
4x2−20x+254{x}^{2}-20x+25

Done
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