Perform the indicated operations and simplify to get a polyn

Perform the indicated operations and simplify to get a polynomial: 2x(3-2x)+5x(x-1)²

Solution

Answer :

Consider the given expression

2x(3-2x)+5x(x-1)²

= 6x - 4x² + 5x(x² + 1 - 2x)

= 6x - 4x² + 5x³ + 5x - 10x²

= 11x - 14x² + 5x³

Therefore ,

2x(3-2x)+5x(x-1)² = 11x - 14x² + 5x³