Simplify (5x-4)(2x+7)

$(5 x - 4) (2 x + 7)$

Step 1

Expand $(5 x - 4) (2 x + 7)$ using the FOIL Method.

Apply the distributive property.

$5 x (2 x + 7) - 4 (2 x + 7)$

Apply the distributive property.

$5 x (2 x) + 5 x \cdot 7 - 4 (2 x + 7)$

Apply the distributive property.

$5 x (2 x) + 5 x \cdot 7 - 4 (2 x) - 4 \cdot 7$

Step 2

Simplify and combine like terms.

Simplify each term.

Rewrite using the commutative property of multiplication.

$5 \cdot 2 x \cdot x + 5 x \cdot 7 - 4 (2 x) - 4 \cdot 7$

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

Move $x$ .

$5 \cdot 2 (x \cdot x) + 5 x \cdot 7 - 4 (2 x) - 4 \cdot 7$

Multiply $x$ by $x$ .

$5 \cdot 2 x^{2} + 5 x \cdot 7 - 4 (2 x) - 4 \cdot 7$

Multiply $5$ by $2$ .

$10 x^{2} + 5 x \cdot 7 - 4 (2 x) - 4 \cdot 7$

Multiply $7$ by $5$ .

$10 x^{2} + 35 x - 4 (2 x) - 4 \cdot 7$

Multiply $2$ by $- 4$ .

$10 x^{2} + 35 x - 8 x - 4 \cdot 7$

Multiply $- 4$ by $7$ .

$10 x^{2} + 35 x - 8 x - 28$

Subtract $8 x$ from $35 x$ .

$10 x^{2} + 27 x - 28$