Simplify 3x(x+4)((x+1)/(3(x+4)))

$3 x (x + 4) (\frac{x + 1}{3 (x + 4)})$

Cancel the common factor of $3 (x + 4)$ .

Factor $3 (x + 4)$ out of $3 x (x + 4)$ .

$3 (x + 4) (x) \frac{x + 1}{3 (x + 4)}$

Cancel the common factor.

$3 (x + 4) x \frac{x + 1}{3 (x + 4)}$

Rewrite the expression.

$x (x + 1)$

$x (x + 1)$

Apply the distributive property.

$x \cdot x + x \cdot 1$

Simplify the expression.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 1$

Multiply $x$ by $1$ .

$x^{2} + x$

$x^{2} + x$

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