Question

Select the pair of terms that are NOT like terms. a) 3x2 , 3x3 b) -7xy, -9yx c) 8b, -0.5b d) -p2q2 , (pq)2

Answer 1

Answer:

b), c), d)

Step-by-step explanation:

Like terms are terms that have same variables with same powers.

a)

$3x^2,3x^3$ have same variable $x$ with different powers.

So,  $3x^2,3x^3$ are not like terms.

b) $-7xy,-9yx$

Power of $x$ in each of the terms = 1

Power of $y$ in each of the terms = 1

$-7xy,-9yx$ are terms that have same variables $\{x,y\}$ with same powers.

So, $-7xy,-9yx$ are like terms.

c) $8b,-0.5b$

Power of $b$ in each of the terms = 1

$8b,-0.5b$ are terms that have same variable $b$ with same power.

So, $8b,-0.5b$ are like terms.

d) $-p^2q^2,(pq)^2=p^2q^2$

Power of $p$ in each of the terms = 1

Power of $q$ in each of the terms = 1

$-p^2q^2,(pq)^2$ are terms that have same variables $\{p,q\}$with same powers.

So, $-p^2q^2,(pq)^2$  are like terms