4 a b-2 a b-7 b c-b a-8 c b-10 b a-9 b c a-24 a2is aA- monomialB- binomialC- trinomialD- polynomial

The correct option is D polynomial 4ab+2ab+7bc+ba 8cb 10ba 9bca +24a^2 Clubbing the like terms together, we get, 4ab+2ab+ba 10ba+7bc 8cb 9bca +24a^2 =4ab+2a ...

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Byju's Answer

Standard XII

Chemistry

Heat Capacity

4 a b+2 a b+7...

Question

$4 a b + 2 a b + 7 b c + b a - 8 c b - 10 b a + - 9 b c a + 24 a^{2}$
is a ____.

monomial

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binomial

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trinomial

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polynomial

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Solution

The correct option is D polynomial
From question,
$4 a b + 2 a b + 7 b c + b a - 8 c b - 10 b a + - 9 b c a + 24 a^{2}$
Rearranging variables in each term, we get
$= 4 a b + 2 a b + 7 b c + a b - 8 b c - 10 a b - 9 a b c + 24 a^{2}$
Clubbing the like terms together, we get

$= 4 a b + 2 a b + a b - 10 a b + 7 b c - 8 b c - 9 a b c + 24 a^{2}$

$= - 3 a b - b c - 9 b c a + 24 a^{2}$

$= 24 a^{2} - 3 a b - b c - 9 a b c$

Since the expression reduces to $4$ terms, it is a polynomial.

Suggest Corrections

4ab+2ab+7bc+ba−8cb−10ba+−9bca+24a2 is a ____.

$4 a b + 2 a b + 7 b c + b a - 8 c b - 10 b a + - 9 b c a + 24 a^{2}$
is a ____.