anonymous
  • anonymous
Find a pair of factors for each number by using the difference of two squares. a. 45 b. 77 c. 112
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
KingGeorge
  • KingGeorge
Let's start with a. Using difference of two squares, note that \(45=49-4=7^2-2^2\)This last expression can be factored easily as \[7^2-2^2=(7-2)\cdot(7+2)\]Hence, your factorization is \(9\cdot 5\)
KingGeorge
  • KingGeorge
For b, we want to write\[77=81-4=9^2-2^2\]Can you factorize from there?
anonymous
  • anonymous
trying to figure it out

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

KingGeorge
  • KingGeorge
There's an easy way to factorize a difference of two squares. If you have a differnece of two squares \[a^2-b^2\]then this factors into\[a^2-b^2=(a-b)\cdot(a+b)\]Does this help?
anonymous
  • anonymous
no sorry
KingGeorge
  • KingGeorge
So you have an equation of the form \[a^2-b^2\]where \(a=9\) and \(b=2\). Thus, \[a^2-b^2=(a-b)\cdot(a+b)\]can be replaced by \[9^2-2^2=(9-2)\cdot(9+2)\]Which then simplifies to \[7\cdot11\]
KingGeorge
  • KingGeorge
Let's move on to c. We want to factor 112. Notice that \[112=121-9=11^2-3^2\]Using the same principles as above, can you try to factor this one?
anonymous
  • anonymous
i do not understand how u did this
KingGeorge
  • KingGeorge
Sorry, I had to go get dinner. What part of this do you now understand?
anonymous
  • anonymous
c. 8x14

Looking for something else?

Not the answer you are looking for? Search for more explanations.