How do you multiply (2x + y)(x^2 -3xy + 2y^2 )?

1 Answer
Jun 26, 2015

=color(green)( 2x^3 - 5x^2y + xy^2 + 2y^3

Explanation:

color(green)((2x +y))(x^2 - 3xy +2y^2)

  • Multiplying color(green)(2x) with all three terms of the second bracket:
    = color(green)(2x) . (x^2) + color(green)(2x) . (-3xy) + color(green)(2x) . (2y^2)

=color(green)( 2x^3 - 6x^2y + 4xy^2 .......(1)

  • Multiplying color(green)(y) with all three terms of the second bracket:

= color(green)(y) . (x^2) + color(green)(y) . (-3xy) + color(green)(y) . (2y^2)

=color(green)( x^2.y - 3xy^2 + 2y^3........(2)
combining 1 and 2

=color(green)( 2x^3 - 5x^2y + xy^2 + 2y^3