Write in Standard Form (x+5)^2=3

${(x + 5)}^{2} = 3$

Subtract $3$ from both sides of the equation.

${(x + 5)}^{2} - 3 = 0$

Simplify ${(x + 5)}^{2} - 3$ .

Simplify each term.

Rewrite ${(x + 5)}^{2}$ as $(x + 5) (x + 5)$ .

$(x + 5) (x + 5) - 3 = 0$

Expand $(x + 5) (x + 5)$ using the FOIL Method.

Apply the distributive property.

$x (x + 5) + 5 (x + 5) - 3 = 0$

Apply the distributive property.

$x \cdot x + x \cdot 5 + 5 (x + 5) - 3 = 0$

Apply the distributive property.

$x \cdot x + x \cdot 5 + 5 x + 5 \cdot 5 - 3 = 0$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$x^{2} + x \cdot 5 + 5 x + 5 \cdot 5 - 3 = 0$

Move $5$ to the left of $x$ .

$x^{2} + 5 \cdot x + 5 x + 5 \cdot 5 - 3 = 0$

Multiply $5$ by $5$ .

$x^{2} + 5 x + 5 x + 25 - 3 = 0$

Add $5 x$ and $5 x$ .

$x^{2} + 10 x + 25 - 3 = 0$

Subtract $3$ from $25$ .

$x^{2} + 10 x + 22 = 0$

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

$a x^{2} + b x + c = 0$

The standard form is $x^{2} + 10 x + 22$ .

$x^{2} + 10 x + 22 = 0$