factor 50-98x^2 — step-by-step solution

Let's factorize in

ℝ

50 - 98 x^{2}

We factor out

2

, the greatest common divisor of the coefficients:

50 - 98 x^{2}

2 \cdot (25 - 49 x^{2})

For

25 - 49 x^{2}

, we recognize a difference of two squares:

5^{2} - {(7 x)}^{2}

. Apply

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

, with

a = 5

and

b = 7 x

You can factorize the expression:

25 - 49 x^{2}

into:

(5 - 7 x) \cdot (5 + 7 x)

▶Factored expression:

2 \cdot (5 - 7 x) \cdot (7 x + 5)