Question

Which of the following represents the factorization of the trinomial below?

Answer 1

$\implies {\blue {\boxed {\boxed {\purple {\sf { \: ( {x - 7})^{2} }}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

${x}^{2} - 14x + 49$

$= {x}^{2} - 7x - 7x + 49$

Taking "$x$" as common from first two terms and "7" from last two terms, we have

$= x \: ( \: x - 7 \: ) - 7 \: ( \: x - 7 \: )$

Taking the factor $(x-7)$ as common,

$= ( \: x - 7\:) \: (\: x - 7\: )$

$=( {x - 7})^{2}$

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

Answer 2

The answer should be B!