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x^{2}\left(x+2x\right)^{2}
Multiply x+2x and x+2x to get \left(x+2x\right)^{2}.
x^{2}\times \left(3x\right)^{2}
Combine x and 2x to get 3x.
x^{2}\times 3^{2}x^{2}
Expand \left(3x\right)^{2}.
x^{2}\times 9x^{2}
Calculate 3 to the power of 2 and get 9.
x^{4}\times 9
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.
x^{2}\left(x+2x\right)^{2}
Multiply x+2x and x+2x to get \left(x+2x\right)^{2}.
x^{2}\times \left(3x\right)^{2}
Combine x and 2x to get 3x.
x^{2}\times 3^{2}x^{2}
Expand \left(3x\right)^{2}.
x^{2}\times 9x^{2}
Calculate 3 to the power of 2 and get 9.
x^{4}\times 9
To multiply powers of the same base, add their exponents. Add 2 and 2 to get 4.