# How do you multiply #(4x + 5)^2#?

##### 4 Answers

#### Answer:

#### Explanation:

#(4x+5)^2=(4x+5)(4x+5)#

#"each term in the second factor is multiplied by "#

#"each term in the first factor"#

#rArr(color(red)(4x+5))(4x+5)#

#=color(red)(4x)(4x+5)color(red)(+5)(4x+5)#

#"distribute each product"#

#=16x^2+20x+20x+25#

#=16x^2+40x+25larrcolor(blue)"collect like terms"#

#### Answer:

#### Explanation:

Use the FOIL method, or the shortcut for squaring binomials.

For any

Our

Therefore:

Alternatively, you could multiply 'each by each,' using the FOIL method.

#### Answer:

See a solution process below:

#### Explanation:

We can use this rule for quadratics:

Let:

Substituting gives:

#### Answer:

#### Explanation:

As you can see, each users are solving it differently and this is what makes Math funny and unique. There are different steps, strategies you can use to solve a problem.

Well, I'm gonna use my favorite method which is **Distributive**

So let's start: