Question

how much smaller is 2x^(3) - 2x + 5 then 7 + 5x^(2) + 3x

Answer 1

How much smaller is $2x^{3} - 2x + 5$ then $7 + 5x^{2} + 3x$?

⇒ $7 + 5x^{2} + 3x - 2x^{3} - 2x + 5$

⇒ $7 + 5x^{2} + 3x - 2x^{3} + 2x - 5$

⇒ $(7 - 5) + 5x^{2} + (3 + 2)x - 2x^{3}$

⇒ $2 + 5x^{2} + 5x - 2x^{3}$