Answer:
[tex]-12x^2y[/tex] and [tex]4x^2y[/tex]
Step-by-step explanation:
Given
[tex]3x^2y[/tex]
Required
What added term would make it a monomial
Options
[tex]3xy[/tex]
[tex]-12x^2y[/tex]
[tex]2x^2y^2[/tex]
[tex]7xy^2[/tex]
[tex]-10x^2[/tex]
[tex]4x^2y[/tex]
[tex]3x^3[/tex]
The given expression, [tex]3x^2y[/tex] has 2 variables; x and y
x has a power of 2 and y has a power of 1.
This implies that, the next term to be added must have y to the power of 1 and x to the power of 2
From the list of given options, only 2 options satisfy this condition.
[tex]-12x^2y[/tex]
[tex]4x^2y[/tex]
When these two terms are added to [tex]3x^2y[/tex], the result is a monomial.
i.e.
[tex]3x^2y - 12x^2y = -9x^2y[/tex]
[tex]3x^2y + 4x^2y = 7x^2y[/tex]
