What is factor 64r^3-t^3 ?

The solution to factor 64r^3-t^3 is (4r-t)(16r^2+4rt+t^2)

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factor 64r^3-t^3

factor

64 r^{3} - t^{3}

(4 r - t) (16 r^{2} + 4 r t + t^{2})

Solution steps

64 r^{3} - t^{3}

Apply exponent rules

= (4 r)^{3} - t^{3}

Apply Difference of Cubes Formula:

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

(4 r)^{3} - t^{3} = (4 r - t) ((4 r)^{2} + 4 r t + t^{2})

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

Simplify

(4 r)^{2} + 4 r t + t^{2} : 16 r^{2} + 4 r t + t^{2}

= (4 r - t) (16 r^{2} + 4 r t + t^{2})

(- 9 - 63) (- - 49)

\frac{x ^{2} + 3 x}{x ^{2} + 5 x + 6}

(4 x - 2)^{3}

- 3 \times 5

2 x (x + 4)

What is factor 64r^3-t^3 ?
The solution to factor 64r^3-t^3 is (4r-t)(16r^2+4rt+t^2)