Which of the following is a pair of like terms?

$(a) - 7 x y^{2} z, - 7 x^{2} y z (b) - 10 x y z^{2}, 3 x y z^{2} (c) 3 x y z, 3 x^{2} y^{2} z^{2} (d) 4 x y z^{2}, 4 x^{2} y z$

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Solution

Like terms are those terms, having the same set of variables with same powers raised to them.

Hence, $- 10 x y z^{2}$ and $3 x y z^{2}$ are like terms as they both contain $x y z^{2}$ which has same set of variables raise to same power.

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(b)

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Q. From the following pairs, find the pairs of like terms.

(1) 7y, 2y
(2) 5ab, 9ba
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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) $5 x y z^{2}, 5 x^{2} y z$
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Q. Which of the following pairs of terms is a pair of like terms?

Question 56 (a)

Simplify the following by combining the like terms and then write whether the expression is a monomial, a binomial or a trinomial.

$3 x^{2} y z^{2} - 3 x y^{2} z + x^{2} y z^{2} + 7 x y^{2} z$

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Which of the following is a pair of like terms? (a) −7xy2z, −7x2yz(b) −10xyz2, 3xyz2(c) 3xyz, 3x2y2z2(d) 4xyz2, 4x2yz

Like terms are those terms, having the same set of variables with same powers raised to them. Hence, −10xyz2 and 3xyz2 are like terms as they both contain xyz2 which has same set of variables raise to same power.

Which of the following is a pair of like terms?

$(a) - 7 x y^{2} z, - 7 x^{2} y z (b) - 10 x y z^{2}, 3 x y z^{2} (c) 3 x y z, 3 x^{2} y^{2} z^{2} (d) 4 x y z^{2}, 4 x^{2} y z$

Like terms are those terms, having the same set of variables with same powers raised to them.

Hence, $- 10 x y z^{2}$ and $3 x y z^{2}$ are like terms as they both contain $x y z^{2}$ which has same set of variables raise to same power.