Factorise 6561a^8 - 256b^8
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8 1
65 61
8 64
1 61
161 1 61
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Formula: a² - b² = (a+b) (a - b)
6561 a⁸ - 256 b⁸
= (81 a⁴)² - (16 b⁴)²
= (81 a⁴ + 16 b⁴) (81 a⁴ - 16 b⁴)
= (81 a⁴ + 16 b⁴) (9 a² + 4 b²) (9 a² - 4 b²)
= (81 a⁴ + 16 b⁴) (9 a² + 4 b²) (3 a + 2 b) (3a - 2b)
65 61
8 64
1 61
161 1 61
============
Formula: a² - b² = (a+b) (a - b)
6561 a⁸ - 256 b⁸
= (81 a⁴)² - (16 b⁴)²
= (81 a⁴ + 16 b⁴) (81 a⁴ - 16 b⁴)
= (81 a⁴ + 16 b⁴) (9 a² + 4 b²) (9 a² - 4 b²)
= (81 a⁴ + 16 b⁴) (9 a² + 4 b²) (3 a + 2 b) (3a - 2b)
kvnmurty:
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Step-by-step explanation:
6561 a⁸ - 256 b⁸ = (81 a⁴)² - (16 b⁴)² = (81 a⁴ + 16 b⁴) (81 a⁴ - 16 b⁴) = (81 a⁴ + 16 b⁴) (9 a² + 4 b²) (9 a² - 4 b²)
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