What is factor 3(x+1)^3+81(x-1)^3 ?

The solution to factor 3(x+1)^3+81(x-1)^3 is 6(2x-1)(7x^2-16x+13)

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factor 3(x+1)^3+81(x-1)^3

factor

3 (x + 1)^{3} + 81 (x - 1)^{3}

6 (2 x - 1) (7 x^{2} - 16 x + 13)

Solution steps

3 (x + 1)^{3} + 81 (x - 1)^{3}

Factor out common term

3 : 3 ((x + 1)^{3} + 27 (x - 1)^{3})

= 3 ((x + 1)^{3} + 27 (x - 1)^{3})

Expand

(x + 1)^{3} + 27 (x - 1)^{3} : 28 x^{3} - 78 x^{2} + 84 x - 26

= 3 (28 x^{3} - 78 x^{2} + 84 x - 26)

Factor

28 x^{3} - 78 x^{2} + 84 x - 26 : 2 (2 x - 1) (7 x^{2} - 16 x + 13)

= 3 \cdot 2 (2 x - 1) (7 x^{2} - 16 x + 13)

Multiply the numbers:

3 \cdot 2 = 6

= 6 (2 x - 1) (7 x^{2} - 16 x + 13)

\frac{6 a ^{5} b ^{7}}{- 2 a ^{3} b ^{7}}

4 x = - 2

∣ (x + 2) (x + 2) ∣ < 2 (2 - x)

2 p > - 4

v^{2} - 9

What is factor 3(x+1)^3+81(x-1)^3 ?
The solution to factor 3(x+1)^3+81(x-1)^3 is 6(2x-1)(7x^2-16x+13)