Q1. Factorise the following :
m⁴+2m²n²+n⁴
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m⁴ + 2m²n²+ n⁴
= m⁴ + m²n² + m²n² + n⁴
= m²( m² + n²) + n²( m² + n²)
= (m²+n²)(m²+n²)
= (m²+n²)²
or we do it by applying the formula : a²+b²+2ab=(a+b)²
m⁴+2m²n²+n⁴
=(m²)² + 2×m²×n²+(n²)²
=( m²+n²)²
= m⁴ + m²n² + m²n² + n⁴
= m²( m² + n²) + n²( m² + n²)
= (m²+n²)(m²+n²)
= (m²+n²)²
or we do it by applying the formula : a²+b²+2ab=(a+b)²
m⁴+2m²n²+n⁴
=(m²)² + 2×m²×n²+(n²)²
=( m²+n²)²
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