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Q.

Which of the following statements is true regarding the sum of a3 − ab + 2b2 and −a3ab + 3b2?

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a

The sum is a monomial in b.

b

The sum is a binomial in a.

c

The sum is a binomial in b.

d

The sum is a monomial in a.

answer is C.

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Detailed Solution

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Required sum = (a3 − ab + 2b2) + (−a3 + ab + 3b2)

a3 − ab + 2b2 − a3 + ab + 3b2

a3 − a3 − abab + 2b2 + 3b2 (Combining all the Like Terms)

= 5b2

Since the sum expression contains only one term, i.e., 5b2, it is a monomial in b.

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