Perform the operations.(7x^3) + (-2x^3 + 8x^2)
5x^3 + 8x^2
To perform the given operations:
(7x^3) + (-2x^3 + 8x^2)
We first need to simplify the expression by combining the like terms. Like terms are terms having the same variable(s) raised to the same power(s).
Here, we can combine the 7x^3 and (-2x^3) terms as they have the same variable (x) raised to the same power (3). By adding them, we get:
(7x^3) + (-2x^3) = (7 – 2) x^3 = 5x^3
Now, we have to add the 8x^2 term to the simplified expression (5x^3). So, the final result of the given operations is:
(7x^3) + (-2x^3 + 8x^2) = 5x^3 + 8x^2
Therefore, (7x^3) + (-2x^3 + 8x^2) simplifies to 5x^3 + 8x^2.
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