factor 25x^6-9w^4 — step-by-step solution

Let's factor in

ℝ

25 x^{6} - 9 w^{4}

For

25 x^{6} - 9 w^{4}

, we recognize a difference of two squares:

{(5 x^{3})}^{2} - {(3 w^{2})}^{2}

. Apply

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

, with

a = 5 x^{3}

and

b = 3 w^{2}

You can factorize the expression:

25 x^{6} - 9 w^{4}

into:

(5 x^{3} - 3 w^{2}) \cdot (5 x^{3} + 3 w^{2})

Let's factor in

ℝ

(5 x^{3} - 3 w^{2}) \cdot (5 x^{3} + 3 w^{2})

⇥Let's factor in

ℝ

(5 x^{3} + 3 w^{2})

⇥Factor found:

3 w^{2} + 5 x^{3}

▶Factored expression:

(3 w^{2} + 5 x^{3}) \cdot (5 x^{3} - 3 w^{2})