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\left(3x+7\right)^{2}-5x+25
Multiply 3x+7 and 3x+7 to get \left(3x+7\right)^{2}.
9x^{2}+42x+49-5x+25
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+7\right)^{2}.
9x^{2}+37x+49+25
Combine 42x and -5x to get 37x.
9x^{2}+37x+74
Add 49 and 25 to get 74.
\left(3x+7\right)^{2}-5x+25
Multiply 3x+7 and 3x+7 to get \left(3x+7\right)^{2}.
9x^{2}+42x+49-5x+25
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+7\right)^{2}.
9x^{2}+37x+49+25
Combine 42x and -5x to get 37x.
9x^{2}+37x+74
Add 49 and 25 to get 74.