A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 years ago
Find a pair of factors for each number by using the difference of two squares.
a. 45
b. 77
c. 112
anonymous
 4 years ago
Find a pair of factors for each number by using the difference of two squares. a. 45 b. 77 c. 112

This Question is Closed

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.3Let's start with a. Using difference of two squares, note that \(45=494=7^22^2\)This last expression can be factored easily as \[7^22^2=(72)\cdot(7+2)\]Hence, your factorization is \(9\cdot 5\)

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.3For b, we want to write\[77=814=9^22^2\]Can you factorize from there?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0trying to figure it out

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.3There's an easy way to factorize a difference of two squares. If you have a differnece of two squares \[a^2b^2\]then this factors into\[a^2b^2=(ab)\cdot(a+b)\]Does this help?

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.3So you have an equation of the form \[a^2b^2\]where \(a=9\) and \(b=2\). Thus, \[a^2b^2=(ab)\cdot(a+b)\]can be replaced by \[9^22^2=(92)\cdot(9+2)\]Which then simplifies to \[7\cdot11\]

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.3Let's move on to c. We want to factor 112. Notice that \[112=1219=11^23^2\]Using the same principles as above, can you try to factor this one?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i do not understand how u did this

KingGeorge
 4 years ago
Best ResponseYou've already chosen the best response.3Sorry, I had to go get dinner. What part of this do you now understand?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.