m²n²+2mnp+p² factories
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m^2n^2+2mnp+p^2
= (mn)^2+2×mn×p+(p)^2 [(a+b)^2=a^2+2ab+b^2]
= (mn+p)^2
= (mn+p)(mn+p)
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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
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