combine like terms
is this correct
(5x^2+6x+8)+(6x^3 +2x^2-4x)
= 6x^3+7x^2+2x+8
correct.
please help
execute the indicated multiplications.
(x-2)(x^2+2x+4)
Yes, your answer is correct.
To combine like terms, you need to collect terms with the same variables and exponents. In this case, you have terms with x^2, x, and constants.
Starting with the first set of parentheses, you have:
5x^2 + 6x + 8
Then, moving on to the second set of parentheses:
6x^3 + 2x^2 - 4x
To combine like terms, you add or subtract the coefficients of the terms with the same variables and exponents. In this case, we have:
x^2 terms:
5x^2 + 2x^2 = 7x^2
x terms:
6x - 4x = 2x
constant terms:
8 remains unchanged
Combining these results, we get:
6x^3 + 7x^2 + 2x + 8
So, your answer 6x^3 + 7x^2 + 2x + 8 is correct.