What is factor 125-(4a-b)^3 ?

The solution to factor 125-(4a-b)^3 is -(4a-b-5)((4a-b)^2+5(4a-b)+25)

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factor 125-(4a-b)^3

factor

125 - (4 a - b)^{3}

- (4 a - b - 5) ((4 a - b)^{2} + 5 (4 a - b) + 25)

Solution steps

125 - (4 a - b)^{3}

Factor out common term

- 1

= - ((4 a - b)^{3} - 125)

Factor

(4 a - b)^{3} - 125 : ((4 a - b) - 5) ((4 a - b)^{2} + 5 (4 a - b) + 5^{2})

= - ((4 a - b) - 5) ((4 a - b)^{2} + 5 (4 a - b) + 5^{2})

Refine

= - (4 a - b - 5) ((4 a - b)^{2} + 5 (4 a - b) + 25)

- x - 5 + 3 x = x - 1

\frac{x ^{\frac{1}{2}}}{x ^{\frac{3}{2}}}

4 x^{3} - 4 x^{2} - x + 1

x^{2} + x - 2 > 0

1.3 \cdot 1 0^{9} = \frac{1}{2} \cdot 8.2 \cdot 1 0^{4} \cdot x^{2}

What is factor 125-(4a-b)^3 ?
The solution to factor 125-(4a-b)^3 is -(4a-b-5)((4a-b)^2+5(4a-b)+25)