Hi!
To expand a binomial expression, use a method called FOIL:
[tex]\large\boldsymbol{FOIL}[/tex]
Let's get started! :)
[tex]\dashrightarrow\bold{(x+5)^2}[/tex]
Step 1:
Remember, a number squared is equal to that number times itself.
Same with binomials - a binomial squared is equal to that binomial times itself. [tex]\large\boldsymbol{\Downarrow}}[/tex]
[tex]\dashrightarrow\bold{(x+5)(x+5)}[/tex]
Now let's use FOIL.
Step 2:
[tex]\dashrightarrow\boldsymbol{x^2}[/tex]
Step 3:
[tex]\dashrightarrow\boldsymbol{x^2+5x}[/tex]
Step 4:
[tex]\dashrightarrow\boldsymbol{x^2+5x+5x}[/tex]
Step 5:
[tex]\dashrightarrow\boldsymbol{x^2+5x+5x+25}[/tex]
Step 6:
[tex]\dashrightarrow\boldsymbol{x^2+10x+25}[/tex]
Therefore, the answer is:
[tex]\boxed{\boxed{\boldsymbol{x^2+10x+25}}}[/tex]
I hope I helped, have a wonderful day!
-stargazing with joy
Copyright © 2024 EHUB.TIPS team's - All rights reserved.
Answers & Comments
Hi!
To expand a binomial expression, use a method called FOIL:
[tex]\large\boldsymbol{FOIL}[/tex]
Let's get started! :)
[tex]\dashrightarrow\bold{(x+5)^2}[/tex]
Step 1:
Remember, a number squared is equal to that number times itself.
Same with binomials - a binomial squared is equal to that binomial times itself. [tex]\large\boldsymbol{\Downarrow}}[/tex]
[tex]\dashrightarrow\bold{(x+5)(x+5)}[/tex]
Now let's use FOIL.
Step 2:
[tex]\dashrightarrow\boldsymbol{x^2}[/tex]
Step 3:
[tex]\dashrightarrow\boldsymbol{x^2+5x}[/tex]
Step 4:
[tex]\dashrightarrow\boldsymbol{x^2+5x+5x}[/tex]
Step 5:
[tex]\dashrightarrow\boldsymbol{x^2+5x+5x+25}[/tex]
Step 6:
[tex]\dashrightarrow\boldsymbol{x^2+10x+25}[/tex]
Therefore, the answer is:
[tex]\boxed{\boxed{\boldsymbol{x^2+10x+25}}}[/tex]
I hope I helped, have a wonderful day!
-stargazing with joy