Check the most appropriate optionWhen we simplify the expression b(ac−2b)+3abc we obtain 4abc+2b2When we simplify 8ab2−4a+6b2−2ab2+9a we obtain 6ab2+6b2+4aThe terms 2b and ab in the expression 2ab+6a+ab−a2+b2 are like terms2−x is an algebraic expressionThe terms x and xy in the expression 5x+xy−3y2+8xy−2xy+18 are like termsWe can rewrite (x−1)(x−2) as x2−3x−2When we simplify the expression 3ab−b2−2ab+3b2 we obtain ab+2b2We obtain the same result when we simplify a3b4−a2b2a2b and b(ab2−ab)
Question
Check the most appropriate optionWhen we simplify the expression b(ac−2b)+3abc we obtain 4abc+2b2When we simplify 8ab2−4a+6b2−2ab2+9a we obtain 6ab2+6b2+4aThe terms 2b and ab in the expression 2ab+6a+ab−a2+b2 are like terms2−x is an algebraic expressionThe terms x and xy in the expression 5x+xy−3y2+8xy−2xy+18 are like termsWe can rewrite (x−1)(x−2) as x2−3x−2When we simplify the expression 3ab−b2−2ab+3b2 we obtain ab+2b2We obtain the same result when we simplify a3b4−a2b2a2b and b(ab2−ab)
Solution
The most appropriate options are:
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False. When we simplify the expression b(ac−2b)+3abc we do not obtain 4abc+2b2. The correct simplification is bac - 2b^2 + 3abc.
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True. When we simplify 8ab2−4a+6b2−2ab2+9a we do obtain 6ab2+6b2+4a.
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False. The terms 2b and ab in the expression 2ab+6a+ab−a2+b2 are not like terms. Like terms must have the same variables and powers.
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True. 2−x is an algebraic expression.
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False. The terms x and xy in the expression 5x+xy−3y2+8xy−2xy+18 are not like terms. Like terms must have the same variables and powers.
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True. We can rewrite (x−1)(x−2) as x2−3x+2.
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True. When we simplify the expression 3ab−b2−2ab+3b2 we do obtain ab+2b2.
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False. We do not obtain the same result when we simplify a3b4−a2b2a2b and b(ab2−ab). The first simplifies to ab^2, while the second simplifies to b^2 - ab.
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