Factorize m^4-(m^2-2n^2)^2
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HOLA..!!!!
m⁴ - (m² - 2n²)²
= (m²)² - (m² - 2n²)²
= [m² + m² - 2n²] [ m² - ( m² - 2n²)]
= (2m² - 2n²) ( m² - m² + 2n²)
= 2 × (m² - n²) ( 2n²)
= 4n²( m² - n²)
HOPE IT'LL HELP...:)
m⁴ - (m² - 2n²)²
= (m²)² - (m² - 2n²)²
= [m² + m² - 2n²] [ m² - ( m² - 2n²)]
= (2m² - 2n²) ( m² - m² + 2n²)
= 2 × (m² - n²) ( 2n²)
= 4n²( m² - n²)
HOPE IT'LL HELP...:)
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