Enter the number of terms in the expression obtained after adding the expressions
$9 x^{2} - 2 y z$ and $2 y + x^{2}$
4

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Solution

The correct option is A 4
$(9 x^{2} - 2 y z) + (2 y + x^{2} - z)$
$= 9 x^{2} - 2 y z + 2 y + x^{2} - z$
Grouping the like terms together,
we get
$= (9 x^{2} + x^{2}) - 2 y z + 2 y - z$
$= x^{2} (9 + 1) - 2 y z + 2 y - z$
$= 10 x^{2} - 2 y z + 2 y - z$

Number of terms in the expression $10 x^{2} - 2 y z + 2 y - z$ is 4.

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