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\[ - x{y^2}, - 4y{x^2},8{x^2},2x{y^2},7y, - 11{x^2} - 100x, - 11yx,20{x^2}y, - 6{x^2},y,2xy,3x\]

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Let us consider the given terms,

Here, the given terms are \[ - x{y^2}, - 4y{x^2},8{x^2},2x{y^2},7y, - 11{x^2} - 100x, - 11yx,20{x^2}y, - 6{x^2},y,2xy,3x\] and amongst these terms. We have checked among the all there is any same literal (variable) in the terms. If there are any terms on it. It is like a term. Let's check with the terms who choose randomly.

Take the terms \[7y\] and \[y\],

\[7y\] and \[y\] are like terms. Since they contain the same variable \[y\] to the same power, the power \[y\] of is 1 in both terms. Therefore the terms \[7y\] and \[y\] are like terms.

Take the terms \[ - 11yx\] and \[2xy\],

\[ - 11yx\] and \[2xy\] are like terms. Since they contain the same variable \[x\] and \[y\] to the same power, the power of \[x\] is 1 and the power of \[y\] is also 1. Therefore the terms \[ - 11yx\] and \[2xy\] are like terms

Take the terms \[8{x^2}\] and \[ - 6{x^2}\],

\[8{x^2}\] and \[ - 6{x^2}\]are like terms. Since they contain the same variable \[x\] to the same power, the powers of \[x\] is 2 in both terms. Therefore the terms \[8{x^2}\] and \[ - 6{x^2}\] are like terms.

Take the terms \[ - 4y{x^2}\] and \[20{x^2}y\],\[2x{y^2}\]

\[ - 4y{x^2}\] and \[20{x^2}y\] are like terms. Since they contain the same variable \[x\] and \[y\] to the same power, the powers of \[x\] is 2 and the power of \[y\] is 1. Therefore the terms \[ - 4y{x^2}\] and \[20{x^2}y\] are like terms.

Also, \[ - x{y^2}\] and are like terms. Since they contain the same variable \[x\] and \[y\] to the same power, the powers of \[y\] is 2 and the power of \[x\] is 1. Therefore the terms \[ - x{y^2}\] and \[2x{y^2}\] are also like terms.

Hence, the like terms are \[\left( {7y,y} \right),\left( {8{x^2}, - 6{x^2}} \right),\left( { - 11yx,2xy} \right),\left( { - x{y^2},2x{y^2}} \right),and\left( { - 4y{x^2},20{x^2}y} \right)\]

Constants are always said to be like terms because in every constant term there may be any number of variables which have the exponent zero.

Unlike terms are the terms which have different variables and exponents.