Question

(x + 5)² - 4(x +5) Pls factorise this​

Answer 1

Answer:

(x+5)²-4(x+5)

x²+10x+25-4x-20

x²+6x+4

Answer 2

$\large\sf\underline{Answer ࿐}$

${(x + 5)}^{2} - 4(x + 5) \\ \\ = {x}^{2} + 2 \times x \times 5 + {5}^{2} - 4x - 20 \\ \\ = {x}^{2} + 10x + 25 - 4x - 20 \\ \\ = {x}^{2} + 10x - 4x + 25 - 20 \\ \\ = {x}^{2} + 6x + 5 \\ \\ = {x}^{2} + (5 + 1)x + 5 \\ \\ = {x}^{2} + 5x + x + 5 \\ \\ = x(x + 5) + 1(x + 5) \\ \\ = (x + 5)(x + 1)$

Thnku !