Question

What is the algebraic expression that describes
5x3 + 3y3 + 2z3 subtracted from 6x3 – y3 – z3 and the
result, in turn, subtracted from the sum of the two?​

Answer 1

Answer:First, adding 3x

2

+5xy+7y

2

+3 and 2x

2

−4xy−3y

2

+7, we have

= 3x

2

+5xy+7y

2

+3+2x

2

−4xy−3y

2

+7

= 5x

2

+xy+4y

2

+10

Now,

Subtracting 5x

2

+xy+4y

2

+10 from 9x

2

−8xy+11y

2

= (9x

2

−8xy+11y

2

)−(5x

2

+xy+4y

2

+10)

= 9x

2

−8xy+11y

2

−5x

2

−xy−4y

2

−10

= 4x

2

−9xy+7y

2

−10

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