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Simplify (20d^2+12d)÷4d

$(20 d^{2} + 12 d) \div 4 d$

Step 1

Rewrite the division as a fraction.

$\frac{20 d^{2} + 12 d}{4 d}$

Step 2

Factor $4 d$ out of $20 d^{2} + 12 d$ .

Factor $4 d$ out of $20 d^{2}$ .

$\frac{4 d (5 d) + 12 d}{4 d}$

Factor $4 d$ out of $12 d$ .

$\frac{4 d (5 d) + 4 d (3)}{4 d}$

Factor $4 d$ out of $4 d (5 d) + 4 d (3)$ .

$\frac{4 d (5 d + 3)}{4 d}$

$\frac{4 d (5 d + 3)}{4 d}$

Step 3

Cancel the common factor of $4$ .

Cancel the common factor.

$\frac{4 d (5 d + 3)}{4 d}$

Rewrite the expression.

$\frac{d (5 d + 3)}{d}$

$\frac{d (5 d + 3)}{d}$

Step 4

Cancel the common factor of $d$ .

Cancel the common factor.

$\frac{d (5 d + 3)}{d}$

Divide $5 d + 3$ by $1$ .

$5 d + 3$

$5 d + 3$

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