2 Answers

Sanshayan · Answer 1 · 2022-02-08T06:06:50+0000

$\large\bold{\underline{\underline{ 4( {x - 7})^(2) }}}$

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

$4x {}^(2) - 56x + 196$

Take
as the common factor.

$= 4( {x}^(2) - 14x + 49)$

$= 4( {x}^(2) - 7x - 7x + 49)$

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

$= 4 \: [ x(x - 7) - 7(x - 7) ]$

Taking the factor
(x-7) as common,

= 4(x - 7)(x - 7)

$= 4( {x - 7})^(2)$

$\bold{ \green{ \star{ \red{Mystique35}}}}⋆$

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