18x^2 + 6 + 4x - 15x^2 - 4 + 13x
okay i know the answer is 3x^2 + 17x + 10 but i dont know how i got it can someone explain plz
put the terms in normal order:
18x^2 + 6 + 4x - 15x^2 - 4 + 13x
18x^2 - 15x^2 + 13x + 4x +6-4
now combine like terms
3x^2 +17x + 2
Unless you made a sign error, I dont agree with what you "know" is the answer.
18x^2 + 6 + 4x - 15x^2 - 4 + 13x
Combine like terms.
18x^2 - 15x^2 = 3x^2
6 - 4 = 2
4x + 13x = 17x
To simplify the expression 18x^2 + 6 + 4x - 15x^2 - 4 + 13x step-by-step, follow these instructions:
1. Combine like terms. Combine the terms with the same exponent, in this case, x^2:
18x^2 - 15x^2 = 3x^2
2. Combine the constant terms (numbers with no variable):
6 - 4 - 4 = -2
3. Combine the terms with only x (no exponent):
4x + 13x = 17x
After combining the terms, you'll have 3x^2 + 17x - 2. Therefore, the expression simplifies to 3x^2 + 17x - 2. It seems the answer you have provided (3x^2 + 17x + 10) has an error in the constant term.
To simplify the given expression, we need to collect like terms, which means combining the terms that have the same variable raised to the same power.
The given expression is:
18x^2 + 6 + 4x - 15x^2 - 4 + 13x
First, let's group the terms with the same variable and exponent:
(18x^2 - 15x^2) + (4x + 13x) + (6 - 4)
Simplifying each group:
3x^2 + 17x + 2
So the simplified expression is 3x^2 + 17x + 2.
However, the answer you provided is slightly different (3x^2 + 17x + 10). It seems there might be a mistake in the signs of the constant terms. Please double-check your calculations to ensure accuracy.