Question

Factor the given expressions using 1)m² + 8m +16​

Answer 1

Answer:

∴ The factors of the quadratic equation, $m^{2} +8m+16$ is $(m+4)(m+4)$.

Step-by-step explanation:

In context with question asked,

• We have to find the factors of $m^{2} +8m+16$.
• The given equation is quadratic equation.
• To solve this quadratic equation, split the middle term into two numbers such that sum of two numbers should be coefficient of middle term and product of that numbers should be the constant term.
• So, the given quadratic equation is,

      $m^{2} +8m+16$

• Splitting middle term into two terms, we get

     $m^{2} +8m+16 = m^{2} +4m+4m+16$

• Taking out common, we get

                       = $m(m+4)+4(m+4)$

                       = $(m+4)(m+4)$

• ∴ The factors of the quadratic equation, $m^{2} +8m+16$ is $(m+4)(m+4)$.