What is factor-10(1-2x)^4(3x-2)^6+18(3x-2)^5(1-2x)^5 ?

The solution to factor-10(1-2x)^4(3x-2)^6+18(3x-2)^5(1-2x)^5 is 2(1-2x)^4(3x-2)^5(-33x+19)

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factor-10(1-2x)^4(3x-2)^6+18(3x-2)^5(1-2x)^5

factor

- 10 (1 - 2 x)^{4} (3 x - 2)^{6} + 18 (3 x - 2)^{5} (1 - 2 x)^{5}

2 (1 - 2 x)^{4} (3 x - 2)^{5} (- 33 x + 19)

Solution steps

- 10 (1 - 2 x)^{4} (3 x - 2)^{6} + 18 (3 x - 2)^{5} (1 - 2 x)^{5}

Factor out common term

2 (1 - 2 x)^{4} (3 x - 2)^{5} : 2 (1 - 2 x)^{4} (3 x - 2)^{5} (- 5 (3 x - 2) + 9 (1 - 2 x))

= 2 (1 - 2 x)^{4} (3 x - 2)^{5} (- 5 (3 x - 2) + 9 (1 - 2 x))

Expand

- 5 (3 x - 2) + 9 (1 - 2 x) : - 33 x + 19

= 2 (1 - 2 x)^{4} (3 x - 2)^{5} (- 33 x + 19)

- 14 - 8 x = - 2 (- 3 x + 7)

\frac{x - 2}{x + 2} \geq \frac{2 x - 3}{x - 1}

1 - 3 x - 2 x = 3 - 2 (x + 3)

X^{2} - 4 = 0

\frac{5 x - 11}{7} = \frac{1}{13}

What is factor-10(1-2x)^4(3x-2)^6+18(3x-2)^5(1-2x)^5 ?
The solution to factor-10(1-2x)^4(3x-2)^6+18(3x-2)^5(1-2x)^5 is 2(1-2x)^4(3x-2)^5(-33x+19)