Number of terms in the expression obtained by adding $9 x^{2} - 2 y z$ and $2 y + x^{2} - z$ is

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Solution

The correct option is C 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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Question 2

Out of the four options, only one is correct. Write the correct answer.

Number of terms in the expression $3 x^{2} y - 2 y^{2} z - z^{2} x + 5$ is

(a) 2
(b) 3
(c) 4
(d) 5

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