Write in Standard Form (2+7x)(2-7x)

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

To write a polynomial in standard form, simplify and then arrange the terms in descending order.

$a x^{2} + b x + c$

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

Apply the distributive property.

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

Apply the distributive property.

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

Apply the distributive property.

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

Simplify and combine like terms.

Simplify each term.

Multiply $2$ by $2$ .

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

Multiply $- 7$ by $2$ .

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

Multiply $2$ by $7$ .

$4 - 14 x + 14 x + 7 x (- 7 x)$

Rewrite using the commutative property of multiplication.

$4 - 14 x + 14 x + 7 \cdot - 7 x \cdot x$

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

Move $x$ .

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

Multiply $x$ by $x$ .

$4 - 14 x + 14 x + 7 \cdot - 7 x^{2}$

Multiply $7$ by $- 7$ .

$4 - 14 x + 14 x - 49 x^{2}$

Add $- 14 x$ and $14 x$ .

$4 + 0 - 49 x^{2}$

Add $4$ and $0$ .

$4 - 49 x^{2}$

Reorder $4$ and $- 49 x^{2}$ .

$- 49 x^{2} + 4$