What is factor 2(x-3)(2x+1)^4+4(x-3)^2(2x+1)^3 ?

The solution to factor 2(x-3)(2x+1)^4+4(x-3)^2(2x+1)^3 is 2(x-3)(2x+1)^3(4x-5)

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factor 2(x-3)(2x+1)^4+4(x-3)^2(2x+1)^3

factor

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

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

Solution steps

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

Factor out common term

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

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

Expand

2 x + 1 + 2 (x - 3) : 4 x - 5

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

\frac{x ^{4}}{x ^{5}}

\frac{4}{\frac{5}{6}}

6 r^{2} t - 3 r t^{2}

0 \leq x \leq 8

x + 4 (x + 5) = 40

What is factor 2(x-3)(2x+1)^4+4(x-3)^2(2x+1)^3 ?
The solution to factor 2(x-3)(2x+1)^4+4(x-3)^2(2x+1)^3 is 2(x-3)(2x+1)^3(4x-5)