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SVETLANKA909090 [29]
3 years ago
5

Factor Completely: 16x8−81y8

Mathematics
1 answer:
svet-max [94.6K]3 years ago
8 0

Answer:

Step-by-step 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)

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