Find the Product (7+4x)(2-9x)

$(7 + 4 x) (2 - 9 x)$

Expand $(7 + 4 x) (2 - 9 x)$ using the FOIL Method.

Apply the distributive property.

$7 (2 - 9 x) + 4 x (2 - 9 x)$

Apply the distributive property.

$7 \cdot 2 + 7 (- 9 x) + 4 x (2 - 9 x)$

Apply the distributive property.

$7 \cdot 2 + 7 (- 9 x) + 4 x \cdot 2 + 4 x (- 9 x)$

Simplify and combine like terms.

Simplify each term.

Multiply $7$ by $2$ .

$14 + 7 (- 9 x) + 4 x \cdot 2 + 4 x (- 9 x)$

Multiply $- 9$ by $7$ .

$14 - 63 x + 4 x \cdot 2 + 4 x (- 9 x)$

Multiply $2$ by $4$ .

$14 - 63 x + 8 x + 4 x (- 9 x)$

Rewrite using the commutative property of multiplication.

$14 - 63 x + 8 x + 4 \cdot - 9 x \cdot x$

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

Move $x$ .

$14 - 63 x + 8 x + 4 \cdot - 9 (x \cdot x)$

Multiply $x$ by $x$ .

$14 - 63 x + 8 x + 4 \cdot - 9 x^{2}$

Multiply $4$ by $- 9$ .

$14 - 63 x + 8 x - 36 x^{2}$

Add $- 63 x$ and $8 x$ .

$14 - 55 x - 36 x^{2}$