Question 56 (e)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$50 x^{3} - 21 x + 107 + 41 x^{3} - x + 1 - 93 + 71 x - 31 x^{3}$

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Solution

$50 x^{3} - 21 x + 107 + 41 x^{3} - x + 1 - 93 + 71 x - 31 x^{3}$
By combining the like terms,
$= 50 x^{3} + 41 x^{3} - 31 x^{3} - 21 x - x + 71 x + 107 + 1 - 93 = 60 x^{3} + 49 x + 15$
The expression contains three terms. So, it is trinomial.

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