Question

factorise
$( x + 5 {)}^{2} - 4(x + 5)$
please give answer step by step

Answer 1

( x + 5)^2 - 4(x + 5)

On taking ( x + 5) as common, we get

= ( x + 5)(x + 5 - 4)

= (x +5) ( x + 1)

Other method :-

(x +5)^2 - 4(x + 5)

= x^2 + 10x + 25 - 4x - 20

= x^2 + 6x + 5

= x^2 + 5x + x + 5

= x ( x +5) + 1(x +5)

= (x +5)(x +1)

Answer 2

Your answer ....!!

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$( x + 5{)}^{2} - 4 ( x + 5 ) \\ \\ Taking (x + 5) as\: common \\ \\ x + 5 ( x + 5 - 4 ) \\ \\ ( x + 5 ) ( x + 1 )$

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