Are $x^{2} y^{3}, x^{3} y^{2}$ $x^2y^3,x^3y^2$ like terms?

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Are $x^{2} y^{3}, x^{3} y^{2}$ $x^2y^3,x^3y^2$ like terms?

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Answer 1 · 2016-11-26T15:05:11

They are not like terms.

Explanation:

No, they are unlike terms. Although they both have $x and y$ $x and y$ variables, there are different numbers of $x and y$ $x and y$

$x^{2} y^{3} = x \times x y \times y \times y$ $x^2y^3 = x xx x" "yxxyxxy$
$x^{3} y^{2} = x \times x \times x \times y \times y$ $x^3y^2= x xx x xx x xxy xx y$

You could add $4 x^{2} y^{3} + 7 x^{2} y^{3} = 11 x^{2} y^{3}$ $" "4x^2y^3 +7x^2y^3 = 11x^2y^3$

But not $3 x^{2} y^{3} + 5 x^{3} y^{2}$ $3x^2y^3 + 5x^3y^2$

You can only add or subtract like terms and you end up with the same term,

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Are $x^{2} y^{3}, x^{3} y^{2}$ $x^2y^3,x^3y^2$ like terms?

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