Question

Group the like terms together:
(i) $9x^2,xy,-3x^2,x^2\text{and}-2xy$

Answer 1

Step: Group the like terms
$9x^2,xy,-3x^2,x^2$ and −2𝑥𝑦.
The terms that have same variables with same exponents are like terms.
Given terms can be grouped as:
Group 1 : $9x^2,-3x^2,x^2.$
Group 2 : 𝑥𝑦, −2𝑥𝑦.
Since, they contain two same variables with equal exponents. Hence, $9x^2,-3x^2,x^2$ are like terms and 𝑥𝑦, −2𝑥𝑦 are like terms.