Question

4" id="TexFormula1" title="factories : - \\ \\ p {}^{2} + 8p - 84" alt="factories : - \\ \\ p {}^{2} + 8p - 84" align="absmiddle" class="latex-formula">
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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,

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

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