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25x^{2}-20x+4-\left(5x+2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-2\right)^{2}.
25x^{2}-20x+4-\left(25x^{2}+20x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+2\right)^{2}.
25x^{2}-20x+4-25x^{2}-20x-4
To find the opposite of 25x^{2}+20x+4, find the opposite of each term.
-20x+4-20x-4
Combine 25x^{2} and -25x^{2} to get 0.
-40x+4-4
Combine -20x and -20x to get -40x.
-40x
Subtract 4 from 4 to get 0.
25x^{2}-20x+4-\left(5x+2\right)^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-2\right)^{2}.
25x^{2}-20x+4-\left(25x^{2}+20x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(5x+2\right)^{2}.
25x^{2}-20x+4-25x^{2}-20x-4
To find the opposite of 25x^{2}+20x+4, find the opposite of each term.
-20x+4-20x-4
Combine 25x^{2} and -25x^{2} to get 0.
-40x+4-4
Combine -20x and -20x to get -40x.
-40x
Subtract 4 from 4 to get 0.