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To subtract two trinomials, you must:
1) remove the brackets and change the signs of the trinomials that are preceded by the sign "\(- \)" to the opposite;
2) combine the like terms of the trinomials.
2) combine the like terms of the trinomials.
Example:
Let us calculate the difference of trinomials and
1) Write down the difference of the trinomials and remove the brackets, taking the signs before the brackets into account:
2) Find the like terms:
3) Combine the like terms:
4) If the coefficient of a term is \(1\), then usually we do not write it:
Important!
Remember: the sum or the difference of trinomials is always a trinomial.
To find the opposite of a trinomial, change the signs of the coefficients of all terms to the opposite.
Example:
The opposite of
is
The opposite of
is
The opposite of
is
Two trinomials are called opposite if their sum is \(0\).
Example:
Trinomials and are opposite, because their sum is zero:
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