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

1 Answer
Don't Memorise
Jun 26, 2015

#= color(blue)(2x^3 - 4x^2y + xy^2 -2y^3)#

Explanation:

# color(blue)( (2x^2+y^2)) . (x−2y) #

  • Multiplying #color(blue)(2x^2)# with both terms of the second bracket

# =color(blue)( (2x^2)) . (x) + color(blue)(2x^2) . (−2y) #

# =color(blue)( 2x^3 color(blue)(-4x^2y) #..............#(1)#

  • Multiplying #color(blue)(y^2)# with both terms of the second bracket
    # =color(blue)( (y^2)) . (x) + color(blue)(y^2) . (−2y) #

# =color(blue)( xy^2 - 2y^3 #.............#(2)#

Combining #1# and #2#
#= color(blue)(2x^3 - 4x^2y + xy^2 -2y^3)#

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