Question

FACTORISE - (polynomial)
m2 + 8m + 16
​

Answer 1

➡m² + 8m + 16 = 0

➡m² + 4m + 4m + 16 = 0

➡m(m + 4) + 4(m +4) = 0

➡(m+4)(m+4) = 0

is the required answer➡m² + 8m + 16 = 0

➡m² + 4m + 4m + 16 = 0

➡m(m + 4) + 4(m +4) = 0

➡(m+4)(m+4) = 0

is the required answer➡m² + 8m + 16 = 0

➡m² + 4m + 4m + 16 = 0

➡m(m + 4) + 4(m +4) = 0

➡(m+4)(m+4) = 0

is the required answer

Answer 2

$\large\red{\text\:Answer}$

m = - 4 is the root of the given quadratic equation.

$\large\pink{\text\:Explanation}$

${m}^{2} + 8m + 16 = 0 \\ \\ \implies \: {m}^{2} + 4m + 4m + 16 = 0 \\ \\ \implies \: m(m + 4) \: + 4(m + 4) \: = 0 \\ \\ \implies \: (m + 4) \: (m + 4) = 0 \\ \\ \implies \: m + 4 = 0 \: \: or \: \: m + 4 = 0 \\ \\ \implies \: \boxed{ m = - 4}$