Which of the following are like terms-5xyz-2-nbsp-3xy-2z-5xyz-2- 25x-2yz-15xyz-2- nbsp-45xyz-255xyz-2- nbsp-x-2 y-2 z-2-

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Like and Unlike Terms

Which of the ...

Question

Which of the following are like terms?

- 5 x y z^{2}

- 3 x y^{2} z

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5 x y z^{2}

25 x^{2} y z

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15 x y z^{2}

45 x y z^{2}

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55 x y z^{2}

x^{2} y^{2} z^{2}

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Solution

The correct option is C $15 x y z^{2}$ , $45 x y z^{2}$
Like terms are the terms that contain same variables raised to the same power, the coefficients need not be the same.

Here, $15 x y z^{2}$ and $45 x y z^{2}$ contain same variables x, y and z. Their powers are $x^{1}, y^{1}$ and $z^{2}$ .
The coefficients are 15 and 45.

So, $15 x y z^{2}$ , $45 x y z^{2}$ are like terms.

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Similar questions

Which of the following are like terms?

5 x y z^{2}

- 3 x y^{2} z

5 x y z^{2}

5 x^{2} y z

- 5 x y z^{2}

7 x y z^{2}

5 x y z^{2}

x^{2} y^{2} z^{2}

[1]

Which of the following are like terms?
a) $5 x y z^{2}, - 3 x y^{2} z$
b) $- 5 x y z^{2}, 7 x y z^{2}$
c) $5 x y z^{2}, 5 x^{2} y z$
d) $5 x y z^{2}, x^{2} y^{2} z^{2}$

Q. Group the like terms together:

$- 5 x y z^{2}, - 3 x y^{2} z, 5 x y z^{2}, 25 x^{2} y z, 15 y x z^{2}, 45 x z^{2} y, 55 x y z^{2},$ and $x^{2} y^{2} z^{2}$ .

Consider the terms $x^{3} y$ , $4 x^{2} y^{2}$ , $3 x y^{3}$ , $7 x^{2} y^{2}$ , $3 x^{3}$ , $4 y^{2}$ , $6 x y$ , $7 x^{3} y$ and $8 y^{2}$ .
Which of the following are like terms?

Q. Identify the terms, their coefficients for the following expression:

5 x y z^{2} - 3 z y

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