Question

Mar O^(6), 12:08:32 PM Watch help video Perform the operation. (4x^(2)-8)+(2x^(2)-8x) Answer: Submit Answer

Answer 1

The result of the operation
`(4x^(2) - 8) + (2x^(2) - 8x) is 6x^(2) - 8x - 8`.

Step-by-step explanation:

To perform the given operation, we need to combine like terms. The expression
`(4x^(2) - 8)` represents a quadratic term with a coefficient of 4 and a constant term of -8. Similarly,
`(2x^(2) - 8x)`has a quadratic term with a coefficient of 2, a linear term with a coefficient of -8, and no constant term.

Combining these expressions, we add the coefficients of like terms. For the quadratic term,
`4x^(2) + 2x^(2)` equals
`6x^(2).` For the linear term, -8x remains unchanged. There is no constant term in the second expression, so the constant term from the first expression, -8, is carried over.

Therefore, the simplified result is
`6x^(2) - 8x - 8`. This expression represents the sum of the original terms, combining like terms and simplifying the result.

Understanding how to combine like terms is a fundamental skill in algebra, allowing for the simplification and manipulation of algebraic expressions. In this case, the addition of two quadratic expressions results in a simplified quadratic expression.