Removing Brackets
A plus before the brackets changes nothing; a minus before the brackets flips every sign inside
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A plus before the brackets changes nothing; a minus before the brackets flips every sign inside
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The rule for removing brackets is all about the sign in front: with a "+", drop the brackets and every term keeps its sign; with a "−", drop the brackets and every term inside flips its sign. It is really the distributive law — multiplying by −1 flips every term. The animation shows the signs flipping step by step; then test your eye on random expressions.
Compare removing brackets with a plus versus a minus in a step-by-step animation: the minus flips the sign of every term inside. Watch the demo to internalize the rule, then judge whether the expanded result of a random small expression is right or wrong.