Question #6453672Fill in the Blank
Algebra-1
Question
Multiply the polynomials . The simplified expression is __________.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to multiply a binomial by a trinomial and simplify the resulting polynomial. It aligns with the Algebra-1 curriculum on polynomial multiplication.
Key Concept Explanation
To multiply a binomial by a trinomial, use the distributive property to multiply each term in the binomial by each term in the trinomial, then combine like terms.
Step-by-step Solution
1. Distribute the first term of the binomial (2a) to each term in the trinomial:
2. Distribute the second term of the binomial (3) to each term in the trinomial:
This question tests the student's ability to multiply a binomial by a trinomial and simplify the resulting polynomial. It aligns with the Algebra-1 curriculum on polynomial multiplication.
Key Concept Explanation
To multiply a binomial by a trinomial, use the distributive property to multiply each term in the binomial by each term in the trinomial, then combine like terms.
Step-by-step Solution
1. Distribute the first term of the binomial (2a) to each term in the trinomial:
2. Distribute the second term of the binomial (3) to each term in the trinomial:
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