Question

19x + 15y + 2xy – 21 and 3x + 8y – 2xy + 11

Answer 1

Step-by-step explanation:

Addition:

$19x + 15y + 2xy - 21 + 3x + 8y - 2xy + 11$

$= 19x + 3x + 15y + 8y + 2xy - 2xy - 21 + 11$

$= 22x + 23y - 10$

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Answer 2

Given to add the terms of

19x + 15y + 2xy – 21 and 3x + 8y – 2xy + 11

Concept to know :-

While adding the terms we can add only like terms we cannot add unlike terms

Solution:-

Sum of 19x + 15y + 2xy – 21 and 3x + 8y – 2xy + 11 is

19x + 15y + 2xy - 21 + 3x + 8y - 2xy + 11

First keep like terms together

• Like terms with respect to variable x = 19x , 3x
• Like terms with respect to variable y = 15y , 8y
• Like terms with respect to variable xy = 2xy , -2xy

19x + 3x + 15y + 8y + 2xy - 2xy -21 + 11

Now add the terms

22x + 23y - 10

So, the sum of 19x + 15y + 2xy – 21 and 3x + 8y – 2xy + 11 is 22x + 23y - 10