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

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

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

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Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Simplify and combine like terms.

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Simplify each term.

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

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Move $r$ .

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

Multiply $r$ by $r$ .

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

Multiply $2$ by $2$ .

$2 r^{2} + 4 r - 5 r - 5 \cdot 2$

Multiply $- 5$ by $2$ .

$2 r^{2} + 4 r - 5 r - 10$

Subtract $5 r$ from $4 r$ .

$2 r^{2} - r - 10$

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

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