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

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Solution

The terms having the same literal coefficients are called like terms. They may differ only in their numeral coefficients.
$[1 M a r k]$

Out of the given terms,
$- 5 x y z^{2}, 5 x y z^{2}, 15 y x z^{2}, 45 x z^{2} y,$ and $55 x y z^{2}$ are like terms, as they have same literal coefficient, i.e., $x y z^{2}$ .
$[1 M a r k]$

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

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Group the like terms together: −5xyz2,−3xy2z,5xyz2,25x2yz,15yxz2,45xz2y,55xyz2, and x2y2z2.

The terms having the same literal coefficients are called like terms. They may differ only in their numeral coefficients. [1 Mark] Out of the given terms, −5xyz2,5xyz2,15yxz2,45xz2y, and 55xyz2 are like terms, as they have same literal coefficient, i.e., xyz2. [1 Mark]

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