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25c^{2}-30cd+9d^{2}-9d^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5c-3d\right)^{2}.
25c^{2}-30cd
Combine 9d^{2} and -9d^{2} to get 0.
25c^{2}-30cd+9d^{2}-9d^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5c-3d\right)^{2}.
25c^{2}-30cd
Combine 9d^{2} and -9d^{2} to get 0.