9x⁴-24x²y²+16y²-256
Factorise Completely
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Given : 9x⁴-24x²y²+16y⁴-256
To Find : Factorize
Solution:
9x⁴-24x²y²+16y⁴-256
= (3x²)² - 2(3x²)(4y²) + (4y²)² - 16²
a² - 2ab + b² = (a - b)²
= (3x² - 4y²)² - 16²
a² - b² = (a + b)(a - b)
= (3x² - 4y² + 16) (3x² - 4y² - 16)
9x⁴-24x²y²+16y⁴-256 = (3x² - 4y² + 16) (3x² - 4y² - 16)
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