Simplify and write your final answer in factored form.
(9r^3+2r^2-5r+4)-(5r^3-7r+4)
4r^3 + 2r^2 - 12r
Final answer in factored form: 2r(2r^2 + r - 6)
Can you show how you simply got this answer
To simplify the expression, we first combine like terms.
(9r^3 + 2r^2 - 5r + 4) - (5r^3 - 7r + 4)
= 9r^3 + 2r^2 - 5r + 4 - 5r^3 + 7r - 4
= (9r^3 - 5r^3) + 2r^2 + (-5r + 7r) + (4 - 4)
= 4r^3 + 2r^2 + 2r + 0
= 4r^3 + 2r^2 + 2r
Now, we factor out the common factor "2r" from the expression 2r + 2r^2 + 4r^3 to get:
2r(2 + r + 2r^2)
Therefore, the final answer in factored form is:
2r(2r^2 + r + 2)