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\left(-3x^{2}\right)^{2}
Combine x^{2} and -4x^{2} to get -3x^{2}.
\left(-3\right)^{2}\left(x^{2}\right)^{2}
Expand \left(-3x^{2}\right)^{2}.
\left(-3\right)^{2}x^{4}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
9x^{4}
Calculate -3 to the power of 2 and get 9.
\left(-3x^{2}\right)^{2}
Combine x^{2} and -4x^{2} to get -3x^{2}.
\left(-3\right)^{2}\left(x^{2}\right)^{2}
Expand \left(-3x^{2}\right)^{2}.
\left(-3\right)^{2}x^{4}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
9x^{4}
Calculate -3 to the power of 2 and get 9.