4x2254{x}^{2}-25

1
Rewrite it in the form a2b2{a}^{2}-{b}^{2}, where a=2xa=2x and b=5b=5.
(2x)252{(2x)}^{2}-{5}^{2}

2
Use Difference of Squares: a2b2=(a+b)(ab){a}^{2}-{b}^{2}=(a+b)(a-b).
(2x+5)(2x5)(2x+5)(2x-5)

Done

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