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5\left(x^{2}+14x+49\right)+2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
5x^{2}+70x+245+2
Use the distributive property to multiply 5 by x^{2}+14x+49.
5x^{2}+70x+247
Add 245 and 2 to get 247.
5\left(x^{2}+14x+49\right)+2
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+7\right)^{2}.
5x^{2}+70x+245+2
Use the distributive property to multiply 5 by x^{2}+14x+49.
5x^{2}+70x+247
Add 245 and 2 to get 247.