Question

2m² +8m + 4 . factorise​

Answer 1

2m² + 8m + 4

Divide by 2

m² + 4m + 2

m² + 4m + 2 = 0

Value of m such that the value satisfies the equation

(m)² + 2 × 2 × m = -2

m² + 2×2×m + 4 = -2 + 4

(m + 2)² = 2

m + 2 = √2 || m + 2 = -√2

m = √2 - 2 || m = - ( 2 + √2)

Hence,

Answer : (m + √2 - 2)(m - √2 - 2)