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64+x^{2}-\left(2x^{2}\right)^{2}
Calculate 8 to the power of 2 and get 64.
64+x^{2}-2^{2}\left(x^{2}\right)^{2}
Expand \left(2x^{2}\right)^{2}.
64+x^{2}-2^{2}x^{4}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
64+x^{2}-4x^{4}
Calculate 2 to the power of 2 and get 4.
64+x^{2}-\left(2x^{2}\right)^{2}
Calculate 8 to the power of 2 and get 64.
64+x^{2}-2^{2}\left(x^{2}\right)^{2}
Expand \left(2x^{2}\right)^{2}.
64+x^{2}-2^{2}x^{4}
To raise a power to another power, multiply the exponents. Multiply 2 and 2 to get 4.
64+x^{2}-4x^{4}
Calculate 2 to the power of 2 and get 4.