Factor The Expression And Show Work (16\pik^{2}-16\pik+4\pi)m^{2}

Question

Factor The Expression And Show Work

(16
`\pi`k^{2}-16
`\pi`k+4
`\pi`)m^{2}

Answer 1

`\large\boxed{16\pi k^2-16\pi k+4\pi m^2=(4\pi)(4k^2-4k+m^2)}`

Explanation:

`16\pi k^2-16\pi k+4\pi m^2=(4\pi)(4k^2)-(4\pi)(4k)+(4\pi)(m^2)\\\\=(4\pi)(4k^2-4k+m^2)`