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x^{2}+10x+25-\left(x+2\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
x^{2}+10x+25-\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+10x+25-x^{2}-4x-4
To find the opposite of x^{2}+4x+4, find the opposite of each term.
10x+25-4x-4
Combine x^{2} and -x^{2} to get 0.
6x+25-4
Combine 10x and -4x to get 6x.
6x+21
Subtract 4 from 25 to get 21.
x^{2}+10x+25-\left(x+2\right)^{2}
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+5\right)^{2}.
x^{2}+10x+25-\left(x^{2}+4x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+2\right)^{2}.
x^{2}+10x+25-x^{2}-4x-4
To find the opposite of x^{2}+4x+4, find the opposite of each term.
10x+25-4x-4
Combine x^{2} and -x^{2} to get 0.
6x+25-4
Combine 10x and -4x to get 6x.
6x+21
Subtract 4 from 25 to get 21.