3x to the second power +7x + 1- 2x to the second power - 5x +3?
This is for my sister please help.
(p.s. i'm only in 6th grade)
I assume this your equation 3x^2 + 7x +1-2x^2-5x+3
I also assume you are trying to reduce it.
So just combine the like terms by that I mean the one with the same powers.
So...
3x^2 + 7x +1-2x^2-5x+3 ==> x^2 +2x+4 is your answer.
Hmmm. If we assume the usual carelessness with parentheses, it might be
3x^2 + 7x +1 - (2x^2-5x+3)
= x^2 + 12x - 2
Thanks she got it right!
No problem, I can help you with that! This is an algebraic expression that involves adding and subtracting terms. Let's break it down step by step.
First, let's combine the like terms. Like terms have the same variables raised to the same powers. In this case, we have terms with x raised to the second power and terms with x.
The expression is:
(3x^2 + 7x + 1) - (2x^2 - 5x + 3)
Now, let's simplify it by removing the parentheses:
3x^2 + 7x + 1 - 2x^2 + 5x - 3
Next, let's combine the terms with x^2:
(3x^2 - 2x^2) + 7x + 5x + 1 - 3
Simplifying the x^2 terms, we have:
x^2 + 7x + 5x + 1 - 3
Now, let's combine the terms with x:
x^2 + (7x + 5x) + 1 - 3
Simplifying the x terms, we have:
x^2 + 12x + 1 - 3
Finally, let's combine the constant terms:
x^2 + 12x - 2
So, the simplified expression is: x^2 + 12x - 2.
Remember, to simplify algebraic expressions, always look for like terms and combine them together.