Question

Use factoring to write three different equivalent expressions for 12 m Superscript 5 Baseline plus 60 m.
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Part 1
Select all that apply.
A.12 m left parenthesis m Superscript 4 Baseline plus 5 right parenthesis
12 m left parenthesis m Superscript 4 Baseline plus 5 right parenthesis
B.
minus2m​(6m Superscript 4minus30​)
C.
12m​(5minusm Superscript 4​)
D.6 m left parenthesis 2 m Superscript 4 Baseline plus 10 right parenthesis
6 m left parenthesis 2 m Superscript 4 Baseline plus 10 right parenthesis
E.2 m left parenthesis 6 m Superscript 4 Baseline plus 30 right parenthesis
2 m left parenthesis 6 m Superscript 4 Baseline plus 30 right parenthesis
F.
6m​(10m Superscript 4plus2

Answer 1

Correct choices: A, D, and E.

Checks:
- A: 12m(m^4 + 5) = 12m^5 + 60m.
- D: 6m(2m^4 + 10) = 12m^5 + 60m.
- E: 2m(6m^4 + 30) = 12m^5 + 60m.

B and C change signs (they give -12m^5 + 60m or 60m - 12m^5), and F would give 60m^5 + 12m, so those are not equivalent to 12m^5 + 60m.