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Setler [38]
4 years ago
9

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

Mathematics
2 answers:
leva [86]4 years ago
7 0

Answer:

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)

Anettt [7]4 years ago
4 0

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

Step-by-step explanation:

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