Which of the following are like terms?
a) $5 x y z^{2}$ , $- 3 x y^{2} z$
b) $5 x y z^{2}$ , $5 x^{2} y z$
c) $- 5 x y z^{2}$ , $7 x y z^{2}$
d) $5 x y z^{2}$ , $x^{2} y^{2} z^{2}$
$[1]$

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Solution

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.
$[1]$

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Similar questions

Identify the terms, their coefficients for each of the following expressions.

(i) $5 x y z^{2} - 3 z y$

(ii) $1 + x + x^{2}$

(iii) $4 x^{2} y^{2} - 4 x^{2} y^{2} z^{2} + z^{2}$

(iv) $3 - p q + q r - r p$

(v) $\frac{x}{2} + \frac{y}{2} - x y$

(vi) $0.3 a - 0.6 a b + 0.5 b$

Identify the terms, their coefficients for each of the following expressions.

(i)

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

(ii)

1 + x + x^{2}

(iii)

4 x^{2} y^{2} - 4 x^{2} y^{2} z^{2} + z^{2}

(iv)

3 - p q + q r - r p

(v)

\frac{x}{2} + \frac{y}{2} - x y

(vi)

0.3 a - 0.6 a b + 0.5 b

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 $x^{2} y^{2} z^{2}$ .

Q. Factorize

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

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Which of the following are like terms? a) 5xyz2,−3xy2z b) 5xyz2, 5x2yz c) −5xyz2, 7xyz2 d) 5xyz2, x2y2z2 [1]

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. [1]

Which of the following are like terms?
a) $5 x y z^{2}$ , $- 3 x y^{2} z$
b) $5 x y z^{2}$ , $5 x^{2} y z$
c) $- 5 x y z^{2}$ , $7 x y z^{2}$
d) $5 x y z^{2}$ , $x^{2} y^{2} z^{2}$
$[1]$

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.
$[1]$