What is factor 8x^3-125t^3 ?

The solution to factor 8x^3-125t^3 is (2x-5t)(4x^2+10xt+25t^2)

Popular >

factor 8x^3-125t^3

factor

8 x^{3} - 125 t^{3}

(2 x - 5 t) (4 x^{2} + 10 x t + 25 t^{2})

Solution steps

8 x^{3} - 125 t^{3}

Apply exponent rules

= (2 x)^{3} - (5 t)^{3}

Apply Difference of Cubes Formula:

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

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

= (2 x - 5 t) ((2 x)^{2} + 2 x \cdot 5 t + (5 t)^{2})

Simplify

(2 x)^{2} + 2 x \cdot 5 t + (5 t)^{2} : 4 x^{2} + 10 x t + 25 t^{2}

= (2 x - 5 t) (4 x^{2} + 10 x t + 25 t^{2})

\frac{4}{x ^{2} - 3 x + 4} + \frac{3}{x ^{2} - 16} - \frac{7}{x ^{2} + 5 x + 4}

(2 x)^{2} (2 x^{- 1})^{3}

\frac{100 \cdot 15 \cdot 12 \cdot 2 \cdot 7}{9 \cdot 40 \cdot 25 \cdot 14}

\frac{( - 3 + i ) ^{6}}{( 1 - i ) ^{10}}

\frac{( 6 ^{3} \cdot 6 ^{2} ) ^{2}}{( 6 ^{4} ) ^{- 2}}

What is factor 8x^3-125t^3 ?
The solution to factor 8x^3-125t^3 is (2x-5t)(4x^2+10xt+25t^2)