What is the product of the expression shown?
(x+2)(x^2+x+3)
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To find the product of the given expression (x+2)(x^2+x+3), we will use the distributive property to multiply each term of the first expression by each term of the second expression.
(x+2)(x^2+x+3)
= x(x^2) + x(x) + x(3) + 2(x^2) + 2(x) + 2(3)
= x^3 + x^2 + 3x + 2x^2 + 2x + 6
= x^3 + 3x^2 + 5x + 6
Therefore, the product of the expression (x+2)(x^2+x+3) is x^3 + 3x^2 + 5x + 6.