What is factor (5y-4)^3-(y-4)^3 ?

The solution to factor (5y-4)^3-(y-4)^3 is 4y(31y^2-72y+48)

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factor (5y-4)^3-(y-4)^3

factor

(5 y - 4)^{3} - (y - 4)^{3}

4 y (31 y^{2} - 72 y + 48)

Solution steps

(5 y - 4)^{3} - (y - 4)^{3}

Apply Difference of Cubes Formula:

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

(5 y - 4)^{3} - (y - 4)^{3} = ((5 y - 4) - (y - 4)) ((5 y - 4)^{2} + (y - 4) (5 y - 4) + (y - 4)^{2})

= ((5 y - 4) - (y - 4)) ((y - 4)^{2} + (y - 4) (5 y - 4) + (5 y - 4)^{2})

Refine

= 4 y ((5 y - 4)^{2} + (y - 4) (5 y - 4) + (y - 4)^{2})

Expand

(5 y - 4)^{2} + (y - 4) (5 y - 4) + (y - 4)^{2} : 31 y^{2} - 72 y + 48

= 4 y (31 y^{2} - 72 y + 48)

e - e^{(- a x)}

5 x - 18 0^{11}

\frac{d}{d x} (arcsin (x y))

(2) + (\frac{π}{2})

(a + b) + 3 (a + b)

What is factor (5y-4)^3-(y-4)^3 ?
The solution to factor (5y-4)^3-(y-4)^3 is 4y(31y^2-72y+48)