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

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

Step-by-step explanation:

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)

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

apex answer is: true.