Question

Pinned \( \cdot \) Edited Assignment in Algebra: Factor each of the following completely. 1.) \( a^{3}-1 \) 2.) \( b^{6}+8 \) 3.) \( c^{3} d^{3}+27 \) 4.) \( 64 \mathrm{f}^{3}+(\mathrm{g}-\mathrm{h})^{3} \) 5.) \( j+k^{6}-512 m^{3} \)

          Pinned \( \cdot \) Edited

Assignment in Algebra:
Factor each of the following completely.
1.) \( a^{3}-1 \)
2.) \( b^{6}+8 \)
3.) \( c^{3} d^{3}+27 \)
4.) \( 64 \mathrm{f}^{3}+(\mathrm{g}-\mathrm{h})^{3} \)
5.) \( j+k^{6}-512 m^{3} \)

Pinned · Edited

Assignment in Algebra:
Factor each of the following completely.
1.) a^3-1
2.) b^6+8
3.) c^3 d^3+27
4.) 64 f^3+(g-h)^3
5.) j+k^6-512 m^3

Added by Joel W.

Intermediate Algebra

Elayn Martin-Gay 6th Edition

Chapter 5

Instant Answer

Solved by Expert Allison Knapp

Step 1

- Recognize this as a difference of cubes: \( a^3 - 1^3 \). - Use the formula for factoring a difference of cubes: \( a^3 - b^3 = (a-b)(a^2 + ab + b^2) \). - Here, \( a = a \) and \( b = 1 \). - Apply the formula: \( a^3 - 1 = (a-1)(a^2 + a \cdot 1 + 1^2) = Show more…

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Pinned \( \cdot \) Edited Assignment in Algebra: Factor each of the following completely. 1.) \( a^{3}-1 \) 2.) \( b^{6}+8 \) 3.) \( c^{3} d^{3}+27 \) 4.) \( 64 \mathrm{f}^{3}+(\mathrm{g}-\mathrm{h})^{3} \) 5.) \( j+k^{6}-512 m^{3} \)