Factorise : - \\ \\ 4x {}^(2) - 56x + 196 \\ \\ please \: help \: ​

Question

`factorise : - \\ \\ 4x {}^(2) - 56x + 196 \\ \\ please \: help \:`
​

Answer 1

The answer will be:))))

Answer 2

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

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

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

Take
`4` as the common factor.

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

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

Taking
`x` as common from first two terms and
`7` 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}}}}⋆`