Simplify (2r-5)(r+3)

$(2 r - 5) (r + 3)$

Step 1

Expand $(2 r - 5) (r + 3)$ using the FOIL Method.

Apply the distributive property.

$2 r (r + 3) - 5 (r + 3)$

Apply the distributive property.

$2 r \cdot r + 2 r \cdot 3 - 5 (r + 3)$

Apply the distributive property.

$2 r \cdot r + 2 r \cdot 3 - 5 r - 5 \cdot 3$

$2 r \cdot r + 2 r \cdot 3 - 5 r - 5 \cdot 3$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $r$ by $r$ by adding the exponents.

Move $r$ .

$2 (r \cdot r) + 2 r \cdot 3 - 5 r - 5 \cdot 3$

Multiply $r$ by $r$ .

$2 r^{2} + 2 r \cdot 3 - 5 r - 5 \cdot 3$

$2 r^{2} + 2 r \cdot 3 - 5 r - 5 \cdot 3$

Multiply $3$ by $2$ .

$2 r^{2} + 6 r - 5 r - 5 \cdot 3$

Multiply $- 5$ by $3$ .

$2 r^{2} + 6 r - 5 r - 15$

$2 r^{2} + 6 r - 5 r - 15$

Subtract $5 r$ from $6 r$ .

$2 r^{2} + r - 15$

$2 r^{2} + r - 15$

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