factor 8x^3-800x — step-by-step solution

Let's factorize in

ℝ

8 x^{3} - 800 x

You can factorize this expression into:

x \cdot (8 x^{2} - 800)

⇥Let's factorize in

ℝ

(8 x^{2} - 800)

⇥We factor out

8

, the greatest common divisor of the coefficients:

8 x^{2} - 800

8 \cdot (x^{2} - 100)

⇥For

x^{2} - 100

, we recognize a difference of two squares:

x^{2} - 10^{2}

. Apply

a^{2} - b^{2} = (a - b) \cdot (a + b)

, with

a = x

and

b = 10

⇥Factors found:

(x + 10) \cdot (x - 10)

▷The factor

(8 x^{2} - 800)

factors as:

8 \cdot (x + 10) \cdot (x - 10)

ⓘ Factor out the common factor

x

▶Factored expression:

8 x \cdot (x + 10) \cdot (x - 10)