Question

Find the product of (x^2+2x-3)(4x^2-5x+6)

Answer 1

Answer:

$x^{4}$ + 3x³ - 16x² + 27x - 18

Step-by-step explanation:

Each term in the second factor is multiplied by each term in the first factor, that is

x²(4x² - 5x + 6) + 2x(4x² - 5x + 6) - 3(4x² - 5x + 6)

Distribute all 3 parenthesis

= 4$x^{4}$ - 5x³ + 6x² + 8x³ - 10x² + 12x - 12x² + 15x - 18

Collecting like terms

= 4$x^{4}$ + 3x³ - 16x² + 27x - 18