A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Factor: x2  100
anonymous
 one year ago
Factor: x2  100

This Question is Closed

Vocaloid
 one year ago
Best ResponseYou've already chosen the best response.1hint: (A^2B^2) = (A+B)(AB) x^2  100 = ?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1yes, and `100=10²` as you probably know already.

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1difference of squares formula \[(a^2b^2)=(a+b)(ab) \]

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1x²  100 = x²  10² = (you tell me)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1O_O ok what's the square root of 100?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1u won't get a number, you should get `(blank)(blank)`

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1find the square root of 100 and the square root of x^2

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Okay, maybe I should do a different example?

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1maybe what's 10 x 10 !?!

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1all right.. so the square root of 100 is 10 so we've found one piece of the solution

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[(a^210^2)=(a+10)(a10)\]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so all we need to do is find the square root of x^2

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1or if you memorize the formula let a = x

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[(a^210^2)=(a+10)(a10)\] we had x^2  100 earlier and our formula is \[(a^2b^2)=(a+b)(ab) \]

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so if b was 10 what's our a?

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1Problem: Factor: p²49. Solution: We are going to apply the difference of squares formula that states: `a²b²=(a+b)(ab)` My a² in this case is p², and b² is 49. So, what will my a and b be? if a² is in this case p², then a is in this case p (you know why, right?) if my b² is 49, then my b is 7 (because √49 = 7) So, we end up getting: `p²  49 = (p + 7)(p  7)` (and this is the answer) `~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~` `~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~` Additional note. if you expand it beckwards you can see why this formula works. \(\Large\color{black}{ \displaystyle ({\rm \color{blue}{b}}+{\rm \color{red}{a}})({\rm \color{blue}{b}}{\rm \color{red}{a}})= }\) \(\Large\color{black}{ \displaystyle {\rm \color{blue}{b}}({\rm \color{blue}{b}}{\rm \color{red}{a}})+{\rm \color{red}{a}}({\rm \color{blue}{b}}{\rm \color{red}{a}})=}\) \(\Large\color{black}{ \displaystyle {\rm \color{blue}{b}}^2{\rm \color{red}{a}}{\rm \color{blue}{b}}+{\rm \color{red}{a}}{\rm \color{blue}{b}}{\rm \color{red}{a}}^2=}\) \(\Large\color{black}{ \displaystyle {\rm \color{blue}{b}}^2~\cancel{{\rm \color{red}{a}}{\rm \color{blue}{b}}}~\cancel{+{\rm \color{red}{a}}{\rm \color{blue}{b}}}{\rm \color{red}{a}}^2=}\) \(\Large\color{black}{ \displaystyle {\rm \color{blue}{b}}^2{\rm \color{red}{a}}^2.}\) So we therefore have: \(\Large\color{black}{ \displaystyle {\rm \color{blue}{b}}^2{\rm \color{red}{a}}^2=}\)\(\Large\color{black}{ \displaystyle ({\rm \color{blue}{b}}+{\rm \color{red}{a}})({\rm \color{blue}{b}}{\rm \color{red}{a}}) }\)

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1your question is x^2100 and in the form of \[(a^2b^2)=(a+b)(ab) \] so we've figured out that 10 x 10 = 100 and the square root of 100 is 10

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1so from the formula if b = 10, then what should be our a hint: it's a variable and it's from x^2100

UsukiDoll
 one year ago
Best ResponseYou've already chosen the best response.1\[x^2100 \rightarrow (a^210^2)=(a+10)(a10)\]

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0difference of square\[\huge\rm a^2 b^2 =(a+b)(ab)\] so just take square root of FIRST TERM nd SQUARE ROOT of 2nd term \[\large\rm \sqrt{a^2}\sqrt{b^2} =(a+b)(ab)\] dw:1437313113030:dw one parentheses with plus sign and one with negative done!

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can someone just give me the answer

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.1There is no use in giving you the answer, and thus I (and hope others as well) will not handle the answer this way. We have attempted a number of good explanation and none worked (some people even gave the answer away but not 100%). You are either not reading our replies, or there is a lack of knowledge to do this problem in the first place. I will suggest to review the post and your math textbook..... good luckl
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.