Question

`factories : - \\ \\ p {}^(2) + 8p - 84`
​

Answer 1

`\implies {\blue {\boxed {\boxed {\purple {\sf { \: (p - 6)(p + 14) }}}}}}`

`\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}`

`{p}^(2) + 8p - 84`

`= {p}^(2) + 14p - 6p - 84`

Taking
`p` as common from first two terms and
`6` from last two terms, we have

`= p(p + 14) - 6(p + 14)`

Taking the factor
`(p+14)` as common,

`= (p - 6)(p + 14)`

`\large\mathfrak{{\pmb{\underline{\red{Mystique35 }}{\red{❦}}}}}`