Question

Finding a Missing Polynomial Addend The sum of two polynomials is 10a2b2 – 8a2b + 6ab2 – 4ab + 2. If one addend is –5a2b2 + 12a2b – 5, what is the other addend?

Answer 1

Answer:

15a²b²  – 20a²b + 6ab² – 4ab + 7  

Step-by-step explanation:

Let the other addend be 'A'.

– 5a²b² + 12a²b – 5 + A =  10a²b² – 8a²b + 6ab² – 4ab + 2

A = 10a²b² – 8a²b + 6ab² – 4ab + 2 - (– 5a²b² + 12a²b – 5 )

A = 10a²b² – 8a²b + 6ab² – 4ab + 2 + 5a²b² - 12a²b + 5  

A = 10a²b² + 5a²b²   – 8a²b - 12a²b  + 6ab² – 4ab +  2 + 5  

A = 15a²b²  – 20a²b + 6ab² – 4ab + 7  

So, the other addend is 15a²b²  – 20a²b + 6ab² – 4ab + 7