What is factor p^3-q^3r^3 ?

The solution to factor p^3-q^3r^3 is (p-qr)(p^2+pqr+q^2r^2)

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factor p^3-q^3r^3

factor

p^{3} - q^{3} r^{3}

(p - q r) (p^{2} + pq r + q^{2} r^{2})

Solution steps

p^{3} - q^{3} r^{3}

Rewrite

q^{3} r^{3}

(q r)^{3}

= p^{3} - (q r)^{3}

Apply Difference of Cubes Formula:

x^{3} - y^{3} = (x - y) (x^{2} + x y + y^{2})

p^{3} - (q r)^{3} = (p - q r) (p^{2} + pq r + (q r)^{2})

= (p - q r) (p^{2} + pq r + (q r)^{2})

Simplify

(p - q r) (p^{2} + pq r + (q r)^{2}) : (p - q r) (p^{2} + pq r + q^{2} r^{2})

= (p - q r) (p^{2} + pq r + q^{2} r^{2})

1331 x^{3} + 3375 x^{3}

8! + 6!

5 x^{3 a - 3} - 4 y^{4 a - 5}

x^{2} + 6 - 16

216 - n^{12}

What is factor p^3-q^3r^3 ?
The solution to factor p^3-q^3r^3 is (p-qr)(p^2+pqr+q^2r^2)