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18x^{2}+9x-\left(2x-5\right)^{2}
Use the distributive property to multiply 9x by 2x+1.
18x^{2}+9x-\left(4x^{2}-20x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-5\right)^{2}.
18x^{2}+9x-4x^{2}+20x-25
To find the opposite of 4x^{2}-20x+25, find the opposite of each term.
14x^{2}+9x+20x-25
Combine 18x^{2} and -4x^{2} to get 14x^{2}.
14x^{2}+29x-25
Combine 9x and 20x to get 29x.
18x^{2}+9x-\left(2x-5\right)^{2}
Use the distributive property to multiply 9x by 2x+1.
18x^{2}+9x-\left(4x^{2}-20x+25\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(2x-5\right)^{2}.
18x^{2}+9x-4x^{2}+20x-25
To find the opposite of 4x^{2}-20x+25, find the opposite of each term.
14x^{2}+9x+20x-25
Combine 18x^{2} and -4x^{2} to get 14x^{2}.
14x^{2}+29x-25
Combine 9x and 20x to get 29x.