Factorize:m4 + 2m2n2 + n4

Given,m4 + 2m2n2 + n4By using the formula (a + b)2 = a2 + b2 + 2abWe get,= (m2)2 + 2×m2×n2 + (n2)2= (m2 + n2)

Q18 of 137 Page 101

Factorize:
m⁴ + 2m²n² + n⁴

Given,

m⁴ + 2m²n² + n⁴

By using the formula (a + b)² = a² + b² + 2ab

We get,

= (m²)² + 2×m²×n² + (n²)²

= (m² + n²)

Factorize:

m² – 4mn + 4n²

Factorize:

a²b² – 6ab + 9c²

Factorize:

(l + m)² – 4lm

Factorize:

x² + 5x + 6