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Question
Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.
x4 + 3x3y + 3x2y2 – 3x3y – 3xy3 + y4 – 3x2y2
Options
Monomial
Binomial
Trinomial
Solution
Trinomial
Explanation:
We have, x4 + 3x3y + 3x2y2 – 3x3y – 3xy3 + y4 – 3x2y2
By combining the like terms,
= x4 + 3x3y – 3x3y – 3x2y2 – 3x2y2 – 3x2y + y4
= x4 + 0 + 0 – 3x3y + y4
= x4 + y4 – 3x3y
The expression contains three terms. So, it is trinomial.
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