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64x^{4}-4\left(4k^{2}+3\right)\left(4k^{2}-12\right)
Multiply -1 and 4 to get -4.
64x^{4}+\left(-16k^{2}-12\right)\left(4k^{2}-12\right)
Use the distributive property to multiply -4 by 4k^{2}+3.
64x^{4}-64k^{4}+144k^{2}+144
Use the distributive property to multiply -16k^{2}-12 by 4k^{2}-12 and combine like terms.
64x^{4}-4\left(4k^{2}+3\right)\left(4k^{2}-12\right)
Multiply -1 and 4 to get -4.
64x^{4}+\left(-16k^{2}-12\right)\left(4k^{2}-12\right)
Use the distributive property to multiply -4 by 4k^{2}+3.
64x^{4}-64k^{4}+144k^{2}+144
Use the distributive property to multiply -16k^{2}-12 by 4k^{2}-12 and combine like terms.