Note: Enter your answer and show all the steps that you use to solve this problem and write your final answer in factored form in the space provided.
Simplify: (9x^3 + 2x^2 – 5x+4)- (5x^3-7x+4)
(9x^3 + 2x^2 – 5x+4)- (5x^3-7x+4)
= 9x^3 + 2x^2 – 5x + 4 - 5x^3 + 7x - 4
= 9x^3 - 5x^3 + 2x^2 - 5x + 7x + 4 - 4
= 4x^3 + 2x^2 + 2x
Final Answer: 4x^3 + 2x^2 + 2x
explain
To simplify the expression (9x^3 + 2x^2 – 5x + 4) - (5x^3 - 7x + 4), we first distribute the negative sign to all terms inside the parentheses after the subtraction sign:
= 9x^3 + 2x^2 – 5x + 4 - 5x^3 + 7x - 4
Now we combine like terms, which means we add or subtract the coefficients of the terms with the same variable and degree:
= 9x^3 - 5x^3 + 2x^2 - 5x + 7x + 4 - 4
This simplifies to:
= 4x^3 + 2x^2 + 2x
Therefore, the simplified expression is 4x^3 + 2x^2 + 2x.
simplify
To simplify the expression (9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4), you need to follow the steps below.
1. Distribute the negative sign inside the second set of parentheses:
= 9x^3 + 2x^2 - 5x + 4 - 5x^3 + 7x - 4
2. Combine like terms (terms with the same variable and power):
= 9x^3 - 5x^3 + 2x^2 - 5x + 7x + 4 - 4
= 4x^3 + 2x^2 + 2x
Therefore, the simplified expression is:
4x^3 + 2x^2 + 2x.