Simplify (1-7x)(1+9x)

$(1 - 7 x) (1 + 9 x)$

Step 1

Expand $(1 - 7 x) (1 + 9 x)$ using the FOIL Method.

Apply the distributive property.

$1 (1 + 9 x) - 7 x (1 + 9 x)$

Apply the distributive property.

$1 \cdot 1 + 1 (9 x) - 7 x (1 + 9 x)$

Apply the distributive property.

$1 \cdot 1 + 1 (9 x) - 7 x \cdot 1 - 7 x (9 x)$

Step 2

Simplify and combine like terms.

Simplify each term.

Multiply $1$ by $1$ .

$1 + 1 (9 x) - 7 x \cdot 1 - 7 x (9 x)$

Multiply $9 x$ by $1$ .

$1 + 9 x - 7 x \cdot 1 - 7 x (9 x)$

Multiply $- 7$ by $1$ .

$1 + 9 x - 7 x - 7 x (9 x)$

Rewrite using the commutative property of multiplication.

$1 + 9 x - 7 x - 7 \cdot 9 x \cdot x$

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

Move $x$ .

$1 + 9 x - 7 x - 7 \cdot 9 (x \cdot x)$

Multiply $x$ by $x$ .

$1 + 9 x - 7 x - 7 \cdot 9 x^{2}$

Multiply $- 7$ by $9$ .

$1 + 9 x - 7 x - 63 x^{2}$

Subtract $7 x$ from $9 x$ .

$1 + 2 x - 63 x^{2}$