---(3x2-%2B-10x)-%2B-(2x3-%2B-3x2).jpeg "(2x - 10) - (3x2 + 10x) + (2x3 + 3x2)")
Simplifying the Expression: (2x - 10) - (3x^2 + 10x) + (2x^3 + 3x^2)
This article will guide you through the process of simplifying the algebraic expression: (2x - 10) - (3x^2 + 10x) + (2x^3 + 3x^2).
Step 1: Distribute the Negative Sign
The negative sign in front of the second set of parentheses means we multiply each term inside by -1.
(2x - 10) + (-1)(3x^2 + 10x) + (2x^3 + 3x^2)
This gives us:
(2x - 10) - 3x^2 - 10x + 2x^3 + 3x^2
Step 2: Combine Like Terms
Now, we identify terms with the same variable and exponent and combine their coefficients.
2x^3 (There's only one term with x^3)
-3x^2 + 3x^2 (These cancel each other out)
2x - 10x (Combine the coefficients)
-10 (This term remains unchanged)
Step 3: Simplify the Expression
Putting all the simplified terms together, we get:
2x^3 - 8x - 10
Conclusion
Therefore, the simplified form of the expression (2x - 10) - (3x^2 + 10x) + (2x^3 + 3x^2) is 2x^3 - 8x - 10.