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x^{2}\left(\sqrt{x+1}\right)^{2}
Expand \left(x\sqrt{x+1}\right)^{2}.
x^{2}\left(x+1\right)
Calculate \sqrt{x+1} to the power of 2 and get x+1.
x^{3}+x^{2}
Use the distributive property to multiply x^{2} by x+1.
x^{2}\left(\sqrt{x+1}\right)^{2}
Expand \left(x\sqrt{x+1}\right)^{2}.
x^{2}\left(x+1\right)
Calculate \sqrt{x+1} to the power of 2 and get x+1.
x^{3}+x^{2}
Use the distributive property to multiply x^{2} by x+1.