Question 56 (a)

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

$3 x^{2} y z^{2} - 3 x y^{2} z + x^{2} y z^{2} + 7 x y^{2} z$

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Solution

We have,
$3 x^{2} y z^{2} - 3 x y^{2} z + x^{2} y z^{2} + 7 x y^{2} z$
By combining the like terms.
$= 3 x^{2} y z^{2} + x^{2} y z^{2} - 3 x y^{2} z + 7 x y^{2} z = 4 x^{2} y z^{2} + 4 x y^{2} z$
The expression contains two terms. So, it is binomial.

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