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25-20z+4z^{2}-\left(25+10z\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5-2z\right)^{2}.
25-20z+4z^{2}-25-10z
To find the opposite of 25+10z, find the opposite of each term.
-20z+4z^{2}-10z
Subtract 25 from 25 to get 0.
-30z+4z^{2}
Combine -20z and -10z to get -30z.
25-20z+4z^{2}-\left(25+10z\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5-2z\right)^{2}.
25-20z+4z^{2}-25-10z
To find the opposite of 25+10z, find the opposite of each term.
-20z+4z^{2}-10z
Subtract 25 from 25 to get 0.
-30z+4z^{2}
Combine -20z and -10z to get -30z.