Simplify (2x+5)(x+6)

$(2 x + 5) (x + 6)$

Step 1

Expand $(2 x + 5) (x + 6)$ using the FOIL Method.

Apply the distributive property.

$2 x (x + 6) + 5 (x + 6)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 6 + 5 (x + 6)$

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 6 + 5 x + 5 \cdot 6$

$2 x \cdot x + 2 x \cdot 6 + 5 x + 5 \cdot 6$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$2 (x \cdot x) + 2 x \cdot 6 + 5 x + 5 \cdot 6$

Multiply $x$ by $x$ .

$2 x^{2} + 2 x \cdot 6 + 5 x + 5 \cdot 6$

$2 x^{2} + 2 x \cdot 6 + 5 x + 5 \cdot 6$

Multiply $6$ by $2$ .

$2 x^{2} + 12 x + 5 x + 5 \cdot 6$

Multiply $5$ by $6$ .

$2 x^{2} + 12 x + 5 x + 30$

$2 x^{2} + 12 x + 5 x + 30$

Add $12 x$ and $5 x$ .

$2 x^{2} + 17 x + 30$

$2 x^{2} + 17 x + 30$

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