Usually used with multiplication, creating an expanded algorithm is taking a formula and "drawing it out," or making it longer (and thus more simplified) by "un-distributing" it. For example:
Answer: an + bn
Why: In the problem, n should be distributed to both a and b using the Distributive Property of Multiplication.
Answer: 20+40+90, or 150
Why: See above.
Hope this helps!
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