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hammer [34]
2 years ago
11

What are the factors of

Mathematics
1 answer:
Veronika [31]2 years ago
7 0

Step 1: Trying to factor as a Difference of Squares:

Factoring:  x²⁰⁰² - 1

Theory : A difference of two perfect squares,  A² - B²  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

A² - AB + BA - B² =

A²  - AB + AB - B²

 A² - B²

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 1 is the square of 1

Check: x²⁰⁰²  is the square of  x¹⁰⁰¹

Factorization is :       (x¹⁰⁰¹ + 1) × (x¹⁰⁰¹ - 1)

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It's square (-)²

Step-by-step explanation:

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Can someone please help me asap
Liono4ka [1.6K]
Hi there!

Thanks for asking for help!

I believe Part A of your answer is the expression: n+2n.
Because that is the answer for Part A, Part B is the answer: "The expression for the bookcases is n+2n because the problem says 'the larger bookcase holds twice as much as the smaller one,' and 'let n represent the amount of books the smaller bookcase holds'.
Since you need to find an expression for the amount both bookcases needs to hold you would add n (capacity of the smaller bookcase) and 2n (capacity of the larger bookcase) together to have an expression that represents the amount both hold.
Part C: 90=3n
I know this is the correct equation based on the expression written above since n+2n=3n, and the problem says "the amount both bookcases hold together is 90 books"

btw, bookcase 1 holds 30 books and the large bookcase holds 60.

Hope this helps you out! :)



6 0
3 years ago
I opened a grocery account at my bank with $250. Every week thereafter, I withdraw $90 from the account to pay for groceries. If
Ksenya-84 [330]

Answer:

y= -90x+250

Step-by-step explanation:

From the information given, the equation would be that the amount in the account would be equal to -90 that is the amount you withdraw from the account each week multiply for x that is the number of weeks plus $250 that is your initial balance:

y= -90x+250, where

y= amount in the account

x= number of weeks.

7 0
3 years ago
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