# How do you write in standard form #y = 4(x + 5) - 2(x + 1)(x + 1)#?

##### 1 Answer

#### Explanation:

Since this expression has many parts, I will color-code it and tackle it one by one.

For the expression in purple, all we need to do is distribute the

What I have in blue, we can multiply with the mnemonic **FOIL**, which stands for Firsts, Outsides, Insides, Lasts. This is the order we multiply the terms in.

**Foiling #(x+1)(x+1)#:**

- First terms:
#x*x=x^2# - Outside terms:
#x*1=x# - Inside terms:
#1*x=x# - Last terms:
#1*1=1#

This simplifies to

Distributing the

Combining like terms gives us

We see that our polynomial is in standard form,

Hope this helps!