How do you multiply (a^{2}+3a)(-a^{2}+2a)?

Ishaan Mcneil

Ishaan Mcneil

Answered question

2022-02-09

How do you multiply (a2+3a)(a2+2a)?

Answer & Explanation

Amubbemibren3k

Amubbemibren3k

Beginner2022-02-10Added 10 answers

The first terms in each parentheses are multiplied by each other. Then the ‘outer’ and ‘inner’ pairs are multiplied and added to each other. Finally, the last terms in each parentheses are multiplied together. The final result may be simplified.
(a2+3a)(a2+2a)
Step 1. a2a2=a4
Step 2. (a22a)+(3aa2)=2a33a3;a3
Step 3. 3a2a=6a2
Step 4. a4a3+6a2
Bordadwayjpf

Bordadwayjpf

Beginner2022-02-11Added 17 answers

Multiply using F.O.I.L
F: (a2+3a)(a2+2a)a4
O: (a2+3a)(a2+2a)2a3
I: (a2+3a)(a2+2a)3a3
L: (a2+3a)(a2+2a)6a2
Now by combining like terms we end up with:
a4a3+6a2

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