Question

Factorise:
(x+5)^2-4(x+5)​

Answer 1

Step-by-step explanation:

${(x + 5)}^{2} - 4(x + 5)$

$= {x}^{2} + 10x + 25 - 4x - 20$

$= {x}^{2} + 6x + 5$

$= {x}^{2} + (5 + 1)x + 5$

$= {x}^{2} + 5x + x + 5$

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

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