(x + 1)(2x^2 + 3x - 1) : Can be solved in multiple ways but easiest for me :P
x (2x^2 + 3x - 1) + 1(2x^2 + 3x - 1)
(2x^3 + 3x^2 - x) + (2x^2 + 3x - 1)
2x^3 + 5x^2 + 2x - 1
Answer:
Product is 2x³ + 5x² + 2x - 1.
Step-by-step explanation:
Given : (x+1) and (2x²+3x-1).
To find : what is the product .
Solution : We have given that
(x+1) and (2x²+3x-1).
Product : (x+1)(2x²+3x-1).
Now, distribute x+ 1 over 2x²+3x-1.
x ( 2x²+3x-1) + 1( 2x²+3x-1).
2x³ + 3x² - x + 2x²+3x-1.
Combine like terms
2x³ + 2x²+3x² - x +3x-1.
2x³ + 5x² + 2x - 1.
Therefore, Product is 2x³ + 5x² + 2x - 1.