when 3g^2-4g+2 is subtracted from 7g^2+5g-1, what is the difference?
Subtract each term from the corresponding term with the same power of g.
7g^2 - 3g^2 = 4 g^2
5g -(-4g) = 9g
-1 -2 = -3
The difference is the sum of those three terms,
4g^2 +9g -3
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10g=9
Well, let's subtract those polynomials and find out.
(7g^2 + 5g - 1) - (3g^2 - 4g + 2)
First, let's distribute the negative to the terms inside the parentheses:
7g^2 + 5g - 1 - 3g^2 + 4g - 2
Next, let's combine like terms:
(7g^2 - 3g^2) + (5g + 4g) + (-1 - 2)
That simplifies to:
4g^2 + 9g - 3
So, the difference is 4g^2 + 9g - 3. But hey, don't worry, I'm always here to lighten the mood! Why did the polynomial go to the party alone? Because it couldn't find a date with equal coefficients!
To find the difference between two expressions, you need to subtract one expression from the other. In this case, we have:
(7g^2 + 5g - 1) - (3g^2 - 4g + 2)
To subtract these expressions, distribute the negative sign to each term of the second expression (3g^2 - 4g + 2) and then combine like terms. Let's break it down step by step:
Step 1: Distribute the negative sign:
7g^2 + 5g - 1 - 3g^2 + 4g - 2
Step 2: Group the like terms:
(7g^2 - 3g^2) + (5g + 4g) + (-1 - 2)
Step 3: Combine like terms:
4g^2 + 9g - 3
So, the difference between (7g^2 + 5g - 1) and (3g^2 - 4g + 2) is 4g^2 + 9g - 3.