What is factor (X+2)^3+(5X-2)^3 ?

The solution to factor (X+2)^3+(5X-2)^3 is 18X(7X^2-8X+4)

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factor (X+2)^3+(5X-2)^3

factor

(X + 2)^{3} + (5 X - 2)^{3}

18 X (7 X^{2} - 8 X + 4)

Solution steps

(X + 2)^{3} + (5 X - 2)^{3}

Apply Sum of Cubes Formula:

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

(X + 2)^{3} + (5 X - 2)^{3} = ((X + 2) + (5 X - 2)) ((X + 2)^{2} - (X + 2) (5 X - 2) + (5 X - 2)^{2})

= ((X + 2) + (5 X - 2)) ((X + 2)^{2} - (X + 2) (5 X - 2) + (5 X - 2)^{2})

Refine

= 6 X ((5 X - 2)^{2} - (X + 2) (5 X - 2) + (X + 2)^{2})

Factor

(5 X - 2)^{2} - (X + 2) (5 X - 2) + (X + 2)^{2} : 3 (7 X^{2} - 8 X + 4)

= 6 \cdot 3 X (7 X^{2} - 8 X + 4)

Multiply the numbers:

6 \cdot 3 = 18

= 18 X (7 X^{2} - 8 X + 4)

(- x)^{3} + 2 \cdot x + 0.375

10 x^{2} - 23 + 9

\frac{2}{x ^{2} - 4}

(d x)^{2}

5 a^{2} b^{- 3}

What is factor (X+2)^3+(5X-2)^3 ?
The solution to factor (X+2)^3+(5X-2)^3 is 18X(7X^2-8X+4)