How do you subtract #5b^2-2a^2# from #4a^2-8ab-9b^2#?

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Answer 1 · 2014-11-06T18:05:56

#4a^2-8ab-9b^2-(5b^2-2a^2)#

by distributing the negative sign,

#=4a^2-8ab-9b^2-5b^2+2a^2#

by grouping the like terms,

#=(4a^2+2a^2)-8ab+(-9b^2-5b^2)#

by simplifying a bit further,

#=6a^2-8ab-14b^2#

I hope that this was helpful.