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geniusboy [140]
4 years ago
10

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

Mathematics
2 answers:
laiz [17]4 years ago
3 0
Combine the like terms to help oullmpvqf fvr
SashulF [63]4 years ago
3 0

Answer:

15a^2b^2-20a^2b+6ab^2-4ab+7

Step-by-step explanation:

Given,

Sum of two polynomial = 10a^2b^2 - 8a^2b + 6ab^2 - 4ab + 2

One addend = -5a^2b^2 + 12a^2b - 5

Let x be the other addend,

\implies x + (-5a^2b^2 + 12a^2b - 5)=10a^2b^2 - 8a^2b + 6ab^2 - 4ab + 2

\implies x = 10a^2b^2 - 8a^2b + 6ab^2 - 4ab + 2-(-5a^2b^2 + 12a^2b - 5)

\implies x = 10a^2b^2 - 8a^2b + 6ab^2 - 4ab + 2+5a^2b^2 - 12a^2b + 5

Combine like terms,

x=15a^2b^2-20a^2b+6ab^2-4ab+7

Hence, other addend is 15a^2b^2-20a^2b+6ab^2-4ab+7

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