Really basic expanding question: Forgot how

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The discussion revolves around the need for help with expanding algebraic expressions, specifically (2x + 1)^2 and 2(x^2 - 1). Participants emphasize the importance of understanding the exponent and the distributive property, suggesting the use of the FOIL method for the first example. Clarifications are provided on how to correctly expand these expressions, with a reminder that mastering basic algebra is crucial for success in calculus. Recommendations for finding review materials or textbooks are also mentioned, highlighting the necessity of solid foundational knowledge.
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Homework Statement



Going through my review material, and I need some help on this simple procedure.

example 1: (2x + 1)^2

example 2: 2(x^2 -1)

I forgot how to do this. Can someone please help me out?


Homework Equations





The Attempt at a Solution



Example 1: 2x squared is 4x?... I dunno. I am stuck. I need a good review on how to do this simple procedure. Any website link to a review/refreasher would be good.

Thanks guys
 
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nukeman said:

Homework Statement



Going through my review material, and I need some help on this simple procedure.

example 1: (2x + 1)^2

example 2: 2(x^2 -1)

I forgot how to do this. Can someone please help me out?

Homework Equations


The Attempt at a Solution



Example 1: 2x squared is 4x?... I dunno. I am stuck. I need a good review on how to do this simple procedure. Any website link to a review/refreasher would be good.

Thanks guys

Ex. 1: What does the exponent 2 indicate?
Ex. 2: Hint - distributive property.

Don't you have a textbook?
 
Just have a calculus book. I am doing a review for calc, and I don't have a Math 12 book.

Ex 1: would it turn into (2x + 1)(2x + 1) ?

Ex 2: would it be just (2x^2 - 2)?

Mark44 said:
Ex. 1: What does the exponent 2 indicate?
Ex. 2: Hint - distributive property.

Don't you have a textbook?
 
Last edited:
1. Yes, but you still need to expand it. There are four multiplications - FOIL (first, outer, inner, last)
2. Yes.
 
nukeman said:
Just have a calculus book. I am doing a review for calc, and I don't have a Math 12 book.

Ex 1: would it turn into (2x + 1)(2x + 1) ?

Remember that for #1, each pair of factors needs to be grouped together for multiplication (ie 2x*2x, 2x*1, 1*2x, 1*1). After you're done multiplying, add the like terms: 4x2 (remains the same; no like terms to which it can add), 2x+2x=4x, and 1. Final answer: 4x2+4x+1
 
nukeman said:
Just have a calculus book. I am doing a review for calc, and I don't have a Math 12 book.

Ex 1: would it turn into (2x + 1)(2x + 1) ?

Ex 2: would it be just (2x^2 - 2)?

You're going to have a very tough time in calculus if you are puzzled about basic algebra concepts. If you can't get the book you studied algebra from, there are lots of decent books out there that you could buy for not much money.
 
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
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