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

The solution to factor 3(x-2)^2(4x+1)^4+(x-2)^3(4x+1)^3 is (x-2)^2(4x+1)^3(13x+1)

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

factor

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

(x - 2)^{2} (4 x + 1)^{3} (13 x + 1)

Solution steps

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

Factor out common term

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

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

Expand

3 (4 x + 1) + x - 2 : 13 x + 1

= (x - 2)^{2} (4 x + 1)^{3} (13 x + 1)

\frac{8}{2} - \frac{7}{12}

\frac{a}{a}

2 x + 1 \geq 2

x^{2} \cdot x^{2}

\frac{w}{9.6} = 6

What is factor 3(x-2)^2(4x+1)^4+(x-2)^3(4x+1)^3 ?
The solution to factor 3(x-2)^2(4x+1)^4+(x-2)^3(4x+1)^3 is (x-2)^2(4x+1)^3(13x+1)