Respuesta :
Answer:
The other addend is [tex]15a^2b^2-20a^2b+6ab^2-4ab+7[/tex].
Step-by-step explanation:
Let the two polynomial are A and B.
One addend is
[tex]A=-5a^2b^2+12a^2b-5[/tex]
The sum of two polynomials is
[tex]A+B=10a^2b^2-8a^2b+6ab^2-4ab+2[/tex]
Subtract polynomial A from both the sides.
[tex]B=10a^2b^2-8a^2b+6ab^2-4ab+2-A[/tex]
[tex]B=10a^2b^2-8a^2b+6ab^2-4ab+2-(-5a^2b^2+12a^2b-5)[/tex]
[tex]B=10a^2b^2-8a^2b+6ab^2-4ab+2+5a^2b^2-12a^2b+5[/tex]
Combine like terms.
[tex]B=(10a^2b^2+5a^2b^2)+(-8a^2b-12a^2b)+6ab^2-4ab+(2+5)[/tex]
[tex]B=15a^2b^2-20a^2b+6ab^2-4ab+7[/tex]
Therefore the other addend is [tex]15a^2b^2-20a^2b+6ab^2-4ab+7[/tex].
