Expand the Trigonometric Expression (2x-7)(x+4)

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

Step 1

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

$2 x \cdot x + 2 x \cdot 4 - 7 x - 7 \cdot 4$

$2 x \cdot x + 2 x \cdot 4 - 7 x - 7 \cdot 4$

Step 2

Simplify and combine like terms.

Simplify each term.

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

Move $x$ .

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

Multiply $x$ by $x$ .

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

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

Multiply $4$ by $2$ .

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

Multiply $- 7$ by $4$ .

$2 x^{2} + 8 x - 7 x - 28$

$2 x^{2} + 8 x - 7 x - 28$

Subtract $7 x$ from $8 x$ .

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

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

Related Questions