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\frac{4x^{3}+24x+8x^{2}+48}{4}
Use the distributive property to multiply 4x+8 by x^{2}+6.
12+2x^{2}+6x+x^{3}
Divide each term of 4x^{3}+24x+8x^{2}+48 by 4 to get 12+2x^{2}+6x+x^{3}.
\frac{4x^{3}+24x+8x^{2}+48}{4}
Use the distributive property to multiply 4x+8 by x^{2}+6.
12+2x^{2}+6x+x^{3}
Divide each term of 4x^{3}+24x+8x^{2}+48 by 4 to get 12+2x^{2}+6x+x^{3}.