Write in Standard Form y=(x+10)^2-7

$y = {(x + 10)}^{2} - 7$

Step 1

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

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

Step 2

Simplify each term.

Rewrite ${(x + 10)}^{2}$ as $(x + 10) (x + 10)$ .

$y = (x + 10) (x + 10) - 7$

Expand $(x + 10) (x + 10)$ using the FOIL Method.

Apply the distributive property.

$y = x (x + 10) + 10 (x + 10) - 7$

Apply the distributive property.

$y = x \cdot x + x \cdot 10 + 10 (x + 10) - 7$

Apply the distributive property.

$y = x \cdot x + x \cdot 10 + 10 x + 10 \cdot 10 - 7$

Simplify and combine like terms.

Simplify each term.

Multiply $x$ by $x$ .

$y = x^{2} + x \cdot 10 + 10 x + 10 \cdot 10 - 7$

Move $10$ to the left of $x$ .

$y = x^{2} + 10 \cdot x + 10 x + 10 \cdot 10 - 7$

Multiply $10$ by $10$ .

$y = x^{2} + 10 x + 10 x + 100 - 7$

Add $10 x$ and $10 x$ .

$y = x^{2} + 20 x + 100 - 7$

Step 3

Subtract $7$ from $100$ .

$y = x^{2} + 20 x + 93$

Step 4