Evaluate
\left(5x-2\right)^{2}-15
Expand
25x^{2}-20x-11
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25x^{2}-20x+4-2\times 5\times 2+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-2\right)^{2}.
25x^{2}-20x+4-10\times 2+5
Multiply 2 and 5 to get 10.
25x^{2}-20x+4-20+5
Multiply 10 and 2 to get 20.
25x^{2}-20x-16+5
Subtract 20 from 4 to get -16.
25x^{2}-20x-11
Add -16 and 5 to get -11.
25x^{2}-20x+4-2\times 5\times 2+5
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-2\right)^{2}.
25x^{2}-20x+4-10\times 2+5
Multiply 2 and 5 to get 10.
25x^{2}-20x+4-20+5
Multiply 10 and 2 to get 20.
25x^{2}-20x-16+5
Subtract 20 from 4 to get -16.
25x^{2}-20x-11
Add -16 and 5 to get -11.
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