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25x^{2}-60x+36-5x+6
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-6\right)^{2}.
25x^{2}-65x+36+6
Combine -60x and -5x to get -65x.
25x^{2}-65x+42
Add 36 and 6 to get 42.
25x^{2}-60x+36-5x+6
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5x-6\right)^{2}.
25x^{2}-65x+36+6
Combine -60x and -5x to get -65x.
25x^{2}-65x+42
Add 36 and 6 to get 42.