Question

Factorize : 16x⁴ - y⁴​

Answer 1

Answer:

16x⁴ - y⁴

• 16x⁴ can be written as (4x²)²

• And y⁴ can be written as (y²)²

Hence,

→ (4x²)² - (y²)²

• We know that,

a² - b² = (a+b)(a-b)  

Hence,

→ (4x² + y²)(4x² - y²)

• 4x² = (2x)²

• y² = (y)²

Hence,

→ (4x² + y²)[(2x)² - (y)²]

• We know that,

• a² - b² = (a+b)(a-b)

Hence,

→ (4x² + y²)(2x + y)(2x - y)

Hence, Factorized.

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