-%E2%88%92-(7x-%2B-x3-%E2%88%92-6-%2B-12x4).jpeg "(2 − 4x9 + 3x3) − (7x + X3 − 6 + 12x4)")
Simplifying the Expression (2 − 4x9 + 3x3) − (7x + x3 − 6 + 12x4)
This article will walk you through the process of simplifying the expression (2 − 4x9 + 3x3) − (7x + x3 − 6 + 12x4).
Step 1: Distribute the Negative Sign
Begin by distributing the negative sign in front of the second set of parentheses. Remember that multiplying a negative sign by each term inside the parentheses changes the sign of that term.
(2 − 4x9 + 3x3) − (7x + x3 − 6 + 12x4) = 2 - 4x9 + 3x3 - 7x - x3 + 6 - 12x4
Step 2: Combine Like Terms
Next, combine all terms with the same variable and exponent. Remember to pay attention to the signs of each term.
x4 terms: -12x4
x3 terms: 3x3 - x3 = 2x3
x terms: -7x
Constant terms: 2 + 6 = 8
Step 3: Write the Simplified Expression
Now, write the expression with the simplified terms in descending order of their exponents.
The simplified expression is: -12x4 + 2x3 - 7x + 8
Conclusion
By following these steps, you have successfully simplified the expression (2 − 4x9 + 3x3) − (7x + x3 − 6 + 12x4) to -12x4 + 2x3 - 7x + 8. This process involves applying the distributive property and combining like terms to obtain a simplified and organized representation of the expression.