What is factor r^3s^3-8t^3 ?

The solution to factor r^3s^3-8t^3 is (rs-2t)(r^2s^2+2rst+4t^2)

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factor r^3s^3-8t^3

factor

r^{3} s^{3} - 8 t^{3}

(rs - 2 t) (r^{2} s^{2} + 2 rs t + 4 t^{2})

Solution steps

r^{3} s^{3} - 8 t^{3}

Rewrite

r^{3} s^{3}

(rs)^{3}

Rewrite

8 t^{3}

(2 t)^{3}

= (rs)^{3} - (2 t)^{3}

Apply Difference of Cubes Formula:

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

(rs)^{3} - (2 t)^{3} = (rs - 2 t) ((rs)^{2} + rs 2 t + (2 t)^{2})

= (rs - 2 t) ((rs)^{2} + rs 2 t + (2 t)^{2})

Simplify

(rs - 2 t) ((rs)^{2} + rs \cdot 2 t + (2 t)^{2}) : (rs - 2 t) (r^{2} s^{2} + 2 rs t + 4 t^{2})

= (rs - 2 t) (r^{2} s^{2} + 2 rs t + 4 t^{2})

p^{10}

y - 64 > - 128

2 y + 2 (y + 5) = 1

- 2 (0)^{2}

\frac{10}{3} + 1

What is factor r^3s^3-8t^3 ?
The solution to factor r^3s^3-8t^3 is (rs-2t)(r^2s^2+2rst+4t^2)