 UPSKILL MATH PLUS

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### Theory:

Terms which have the same variables and powers are like terms.
Example:
• $$8xy²$$ and $$−5xy²$$ are like terms because they have the same variable $$xy^2$$.
• $$2x^2y$$, $$3x^2y$$, $$4x^2y$$, $$5x^2y$$ and $$6x^2y$$ are like terms because they have the same variable $$x^2y$$.
• $$3a^2bc$$, $$- a^2bc$$ and $$-4 a^2bc$$ are like terms because they have the same variable $$a^2bc$$.
Important!
Coefficients need not to be same in like terms.
Terms that do not have the same variables or powers are unlike terms.
Example:
• $$3abc$$ and $$3xyz$$ are unlike terms because they have different variables such as $$abc$$ and $$xyz$$.
• $$2x^2y$$, $$3a^3b$$, $$4pq$$, $$5r^4s$$ and $$6d^5e$$ are unlike terms because they have different variables such as $$x^2y$$, $$a^3b$$, $$r^4s$$ and $$d^5e$$.
• $$3a^2bc$$, $$- x^3yz$$ and $$-4 pqr$$ are unlike terms because they have different variables such as $$a^2bc$$, $$- x^3yz$$ and $$pqr$$.