Question

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

Answer 1

x^2+25+10x-4x-20
x^2+6x+5
x^2+5x+1x+5
x (x+5)+1 (x+5)
(x+1)(x+5)

Answer 2

Answer:

(x+5)² - 4 (x+5) = (x+5)(x+1)

Step-by-step explanation:

Given,

(x+5)² - 4 (x+5)

Required to factorize (x+5)² - 4 (x+5)

Solution

We have (x+5)² - 4 (x+5)

In these two terms we can find that (x+5) is a common term

Taking(x+5) from both terms

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

=(x+5)(x+1)

∴ (x+5)² - 4 (x+5) = (x+5)(x+1)

The factors of (x+5)² - 4 (x+5) = x+5 and x+1

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