Question
show me the steps on how to solve Simplify: (9x3+2x2−5x+4)−(5x3−7x+4)
Answers
GPT 3.5
To simplify the expression (9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4), you need to follow these steps:
1. Distribute the negative sign in front of the second set of parentheses:
(9x^3 + 2x^2 - 5x + 4) - 5x^3 + 7x - 4
2. Combine like terms:
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
Therefore, the simplified expression is 4x^3 + 2x^2 + 2x.
1. Distribute the negative sign in front of the second set of parentheses:
(9x^3 + 2x^2 - 5x + 4) - 5x^3 + 7x - 4
2. Combine like terms:
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
Therefore, the simplified expression is 4x^3 + 2x^2 + 2x.