I have a quick algebra question here. I will explain it for you so you know what the question is asking.
(7x2-7x+4)+(3x2-5x-8)
Both of the two's are to the second power and I am not to sure about the x parts. Someone asked me to post this question for them for their class.
Also, if you explain the question thoroughly, I will award you with 10 points (or by choosing your answer for the best answer).
2007-02-12 09:40:40 · 6 answers · asked by Roxas of Organization 13 7 in Education & Reference ➔ Homework Help
I assume that since there is no = sign that you want this expression simplified.
This is easily accomplished by collecting like terms. A quick note on notaion, the ^ symbol is commonly used to denote exponents. For example 3 squared would be typed as 3^2.
(7x^2-7x+4)+(3x^2-5x-8)
The first step is to drop the parenthesis. Since the second parenthesis is added, we do not have to worry about changing the signs inside the parenthesis. If it were subtracted, then we would have to change the signs.
7x^2-7x+4+3x^2-5x-8
Next it is useful to regroup the terms according to x. All this means is rearranging the order in which things appear in the expression. We want the x term with the highest power to be on the leftand work in decending order with respect to the powers on the x terms. Remember, if a term has an x but there is no power, then the power of that term is 1.
7x^2+3x^2-7x-5x-8+4
Now, look for like terms. Like terms have variables that match EXACTLY. To combine the terms, you simply add or subtract the coefficents (the actual numbers in front of the variable)
10x^2-12x-4
I notice now that each term has a factor (a factor is something that is multiplied or diviided) of 2. Factoring this 2 out gives us
2(5x^2-6x-2)
That is our simplified answer.
Hope that helped
10pts best answer?
2007-02-12 10:04:26 · answer #1 · answered by ultrasonicsfreak 2 · 1⤊ 0⤋
The x is a variable, which can stand for any number. The two sets of numbers are trinomials, which means they have three numbers in them. Because they are in parenthesis, that means that you are doing the operation in between them. You can only add, subtract, etc. like terms, like ones with x squared or just an x, etc. To do this problem you would:
Add 7x2 + 3x2 = 10x2
Add -7x + -5x = -12x
Add 4 + -8 = -4
When you put it together, it looks like this:
10x2-12x-4
2007-02-12 17:49:55 · answer #2 · answered by moonfreak♦ 5 · 1⤊ 0⤋
I'm guessing that the question here asks you to combine like terms, and if so you just add the like terms of the two parantheses together (7x^2 +3x^2, -7x - 5x, 4-8) and your answer will be 10x^2 -12x -4.
2007-02-12 17:58:10 · answer #3 · answered by Santiago D 1 · 1⤊ 0⤋
Its easy enough because you add the two together. 7x^2 + 3x^2 = 10x^2. when you are adding the exponents stay the same. when you you multiply then your exponents change.
-7x+(-5x) = -12x
and 4-8+ -4 then you put it all together.
10x^2-12x-4
Hope that helps.
2007-02-12 17:53:25 · answer #4 · answered by samccaleb 2 · 1⤊ 0⤋
First you have to follow PEMDAS. And make sure you solve the problem as far as you can. You are probably trying to find the value of x but i don't know what you are doing in class. Good luck!
2007-02-12 17:51:11 · answer #5 · answered by ♥BrunetteSweetie♥ 3 · 1⤊ 0⤋
7x^2-7x+4+3x^2-5x-8=10x^2-12x-4
it was all that?!
don't leave your mind sleeping "baby!!!
2007-02-12 17:58:35 · answer #6 · answered by peyman_aa 2 · 1⤊ 0⤋