Question

Subtract the sum of 4x- 6xy + 4y2 and 3x-8xy + 2y2 from the sum of 4x3 - 2xy +9y2 and
7y-2xy.
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Answer 1

Answer:

4x^3+10xy+3y^2+7y-7x

Step-by-step explanation:

Let us first find the sum of (4x-6xy+4y^2+3x-8xy+2y^2) and (3x-8xy+2y^2)

4x-6xy+4y^2+3x-8xy+2y^2

4x+3x-6xy-8xy+4y^2+2y^2 [Keep the like terms together and then add]

7x-14xy+6y^2------ (i)

Now let us find the sum of (4x^3 - 2xy +9y^2) and  (7y-2xy).

4x^3- 2xy +9y^2+7y-2xy

4x^3-2xy-2xy+9y^2+7y [Keep the like terms together and then add]

4x^-4xy+9y^2+7y-------(ii)

Now subtract (i) from (ii)

4x^-4xy+9y^2+7y-(7x-14xy+6y^2) [Do not forget to put the brackets]

​4x^-4xy+9y^2+7y-7x+14xy-6y^2 [ Open the brackets and multiply the sign to all the terms in the brackets]

[Now add]

4x^3+10xy+3y^2+7y-7x.

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