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36 votes
36 votes
Factor Completely:

16x8−81y8

User Provance
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1 Answer

11 votes
11 votes

Answer:

Explanation:

16x⁸ - 81y⁸ is the difference of squares.

16x⁸ - 81y⁸ = (4x⁴)² - (9y⁴)² = (4x⁴ + 9y⁴)(4x⁴ - 9y⁴)

Note that 4x⁴ - 9y⁴ is also the difference of squares.

4x⁴ - 9y⁴ = (2x²) - (3y²)² = (2x² + 3y²)(2x² - 3y²)

16x⁸ - 81y⁸ = (4x⁴ + 9y⁴)(2x² + 3y²)(2x² - 3y²)

User LazyZebra
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