americagrace90 americagrace90
  • 18-07-2019
  • Mathematics
contestada

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

Respuesta :

jimrgrant1 jimrgrant1
  • 18-07-2019

Answer:

[tex]x^{4}[/tex] + 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[tex]x^{4}[/tex] - 5x³ + 6x² + 8x³ - 10x² + 12x - 12x² + 15x - 18

Collecting like terms

= 4[tex]x^{4}[/tex] + 3x³ - 16x² + 27x - 18

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