Simplify the expression: $- 5 x y^{2} z + 9 y^{2} + 5 x z y^{2} + 10$

9 y^{2} + 10

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(- 5 x z + 9) y^{2} + 5 x z y^{2} + 10

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Solution

The correct option is A $9 y^{2} + 10$
In the expression $- 5 x y^{2} z + 9 y^{2} + 5 x z y^{2} + 10$ , the first term, and the third terms are like terms as both the terms have only three unknown variables $x$ , $y$ and $z$ and with the same exponents.
$\Rightarrow$ Exponent of $x$ is 1, exponent of $y$ is 2, and exponent of $z$ is 1.
The expression can be rewritten as
$- 5 x y^{2} z + 9 y^{2} + 5 x y^{2} z + 10$
$= - 5 x y^{2} z + 5 x y^{2} z + 9 y^{2} + 10$
$= (- 5 + 5) x y^{2} z + 9 y^{2} + 10$
$= 9 y^{2} + 10$

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