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\frac{4x^{2}+8x+3x+6}{x+3}
Apply the distributive property by multiplying each term of 4x+3 by each term of x+2.
\frac{4x^{2}+11x+6}{x+3}
Combine 8x and 3x to get 11x.
\frac{4x^{2}+8x+3x+6}{x+3}
Apply the distributive property by multiplying each term of 4x+3 by each term of x+2.
\frac{4x^{2}+11x+6}{x+3}
Combine 8x and 3x to get 11x.