Find the factors of (25x^2-1) + (1+5x) ^2

Question

Mathematics

Alexis Mason

30 January, 00:54

Find the factors of (25x^2-1) + (1+5x) ^2

+4

Answers (2)

Know the Answer?

Roberto Lopez · Answer 1

Roberto Lopez 30 January, 03:08

0

Answer: 5^3 (x+1/5) ^2 (x-1/5)

Aniya Ellis · Answer 2

10x (1 + 5x)

Step-by-step explanation:

Note that

25x² - 1 ← is a difference of squares and factors as

(5x) ² - 1² = (5x - 1) (5x + 1), thus

(25x² - 1) + (1 + 5x) ²

= (5x - 1) (5x + 1) + (1 + 5x) ² ← factor out (1 + 5x) from each term

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

= (1 + 5x) (10x)

= 10x (1 + 5x)