How much greater is #(-10x^6 + 18x^3 + 13) + (7x^6 - 7x^2 + 17)#?

1 Answer
Don't Memorise
Jun 19, 2015

answer 1# = color(red)(-17x^6 + 18x^3 + 7x^2 -4#
answer 2 #= color(red)(-3x^6 +18x^3 - 7x^2+30 #

Explanation:

There are two interpretations for the above question:

  • How much greater is #(-10x^6 + 18x^3 + 13) #than #( 7x^6 - 7x^2 + 17)#

Here we need to subtract:
#-10x^6 + 18x^3 + 13#
#color(red)(-)7x^6 color(red)+ 7x^2 color(red)(-) 17#
# = color(red)(-17x^6 + 18x^3 + 7x^2 -4#

  • Grouping like terms and adding the two expressions :

#= color(red)((-10x^6+ 7x^6) ) +18x^3 - 7x^2+color(blue)((13 + 17)) #
#= color(red)(-3x^6 ) +18x^3 - 7x^2+color(blue)(30) #

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