Which of the following are like terms?

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

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$5 x y z^{2}$ , $5 x^{2} y z$

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$- 5 x y z^{2}$ , $7 x y z^{2}$

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$5 x y z^{2}$ , $x^{2} y^{2} z^{2}$

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Solution

The correct option is C
$- 5 x y z^{2}$ , $7 x y z^{2}$

Like terms are the terms that contain same variables raised to the same power, the coefficients need not be same.
Therefore, $- 5 x y z^{2}$ , $7 x y z^{2}$ are like terms.

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Similar questions

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. In the polynomial given below, separate the like terms:

y^{2} z^{3}, x y^{2} z^{3}, - 5 x^{2} y z, - 4 y^{2} z^{3}, - 8 x z^{3} y^{2}, 3 x^{2} y z, 2 z^{3} y^{2}

Q. Use the identity

(x + a) (x + b) = x^{2} + (a + b) x + a b

to find the following products:
(xyz-4) (xyz-2)

In each polynomial, given below,separate the like terms :

$(i) 3 x y, - 4 y x^{2}, 2 x y^{2}, 2.5 x^{2} y, - 8 y x, - 3.2 y^{2} x a n d x^{2} y (i i) y^{2} z^{3}, x y^{2} z^{3}, - 5 x^{2} y z, - 4 y^{2} z^{3}, - 8 x z^{3} y^{2}, 3 x^{2} y z a n d 2 z^{3} y^{2}$

$\frac{4}{6}$ $x y z$ $\times$ $\frac{3}{4}$ $x^{2}$ $y^{2}$ $z^{2}$ $\times$ $\frac{6}{x^{2} y^{2} z^{2}}$ = ?

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Which of the following are like terms?

The correct option is C −5xyz2, 7xyz2 Like terms are the terms that contain same variables raised to the same power, the coefficients need not be same. Therefore, −5xyz2, 7xyz2 are like terms.

The correct option is C
$- 5 x y z^{2}$ , $7 x y z^{2}$

Like terms are the terms that contain same variables raised to the same power, the coefficients need not be same.
Therefore, $- 5 x y z^{2}$ , $7 x y z^{2}$ are like terms.