What is (3x2−2)+(11−5x)?(1 point)
Responses
3x2−5x+9
3x2+5x−9
−2x2+9
2x2−9
2x^2 - 5x + 9
its wrong
Apologies for the incorrect response. Let's try again.
Given expression: (3x^2 - 2) + (11 - 5x)
To simplify, we can combine like terms:
= 3x^2 - 2 + 11 - 5x
= 3x^2 - 5x + 9
So, the correct answer is 3x^2 - 5x + 9.
how do you know?
To arrive at the correct answer, we follow the order of operations (PEMDAS/BODMAS) which states that we should simplify expressions inside parentheses first, then perform any multiplication or division, and finally addition or subtraction.
Applying this to our given expression: (3x^2 - 2) + (11 - 5x)
First, we simplify the expression inside the first set of parentheses: 3x^2 - 2.
Then, we simplify the expression inside the second set of parentheses: 11 - 5x.
Finally, we combine the simplified expressions from the two sets of parentheses by adding the corresponding terms: 3x^2 - 5x (no like terms with the constant term), and then add the constant terms: -2 + 11 = 9.
So, the simplified expression is 3x^2 - 5x + 9.
To simplify the given expression (3x2−2)+(11−5x), we can use the associative property of addition to rearrange the terms. Here are the steps:
Step 1: Distribute the negative sign through the second set of parentheses.
(3x^2 - 2) + (11 - 5x)
Step 2: Simplify each set of parentheses.
3x^2 - 2 + 11 - 5x
Step 3: Combine like terms.
3x^2 - 5x + 9
Therefore, the simplified expression is 3x^2 - 5x + 9.
To simplify the expression (3x2−2)+(11−5x), we need to follow the order of operations, which is known as PEMDAS (Parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).
First, let's simplify the expression inside the parentheses:
(3x2−2) + (11−5x)
Starting with (3x2−2), we have a multiplication and a subtraction operation. We can multiply 3 by 2x to get 6x, and then subtract 2 from 6x:
= 6x - 2
Next, we have (11−5x). Here, we have a subtraction operation. We can subtract 5x from 11:
= 11 - 5x
Now, we can combine the simplified expressions inside the parentheses:
= (6x - 2) + (11 - 5x)
To simplify further, we can remove the parentheses:
= 6x - 2 + 11 - 5x
Now, we can combine the like terms:
= (6x - 5x) + (-2 + 11)
= x + 9
Therefore, the simplified expression is x + 9.