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5^{2}\left(\sqrt{x^{2}+1}\right)^{2}
Expand \left(5\sqrt{x^{2}+1}\right)^{2}.
25\left(\sqrt{x^{2}+1}\right)^{2}
Calculate 5 to the power of 2 and get 25.
25\left(x^{2}+1\right)
Calculate \sqrt{x^{2}+1} to the power of 2 and get x^{2}+1.
25x^{2}+25
Use the distributive property to multiply 25 by x^{2}+1.
5^{2}\left(\sqrt{x^{2}+1}\right)^{2}
Expand \left(5\sqrt{x^{2}+1}\right)^{2}.
25\left(\sqrt{x^{2}+1}\right)^{2}
Calculate 5 to the power of 2 and get 25.
25\left(x^{2}+1\right)
Calculate \sqrt{x^{2}+1} to the power of 2 and get x^{2}+1.
25x^{2}+25
Use the distributive property to multiply 25 by x^{2}+1.