Simplify the difference (-7p^4+4p^3+6)-(3p^3-5p+3)
I removed the parenthesis and changed the addition and subtraction signs to their opposites on the second set; -7p^4 + 4p^3 + 6 - 3p^3 + 5p - 3. When I combined the like terms, I was able to simplify the polynomial to p^3 + 5p - 7p^4 +3, this being my final answer. Am I correct?
Please help, I would really appreciate it.
Correct, but it is customary to write in descending powers:
-7p^4 + p^3 + 5p + 3
You made a small error in combining the like terms. Let's go through the steps to simplify the expression correctly:
The given expression is (-7p^4 + 4p^3 + 6) - (3p^3 - 5p + 3).
To simplify it, we start by distributing the negative sign to the terms inside the second set of parentheses:
-7p^4 + 4p^3 + 6 - 3p^3 + 5p - 3.
Next, we combine like terms. Look for terms with the same exponent on p and add/subtract their coefficients.
The terms with p^4: -7p^4 (no other term has a p^4).
The terms with p^3: 4p^3 - 3p^3 = p^3.
The terms with p: 5p.
The constant terms: 6 - 3 = 3.
So the simplified expression is: -7p^4 + p^3 + 5p + 3.
Therefore, your final answer should be "-7p^4 + p^3 + 5p + 3".