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

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

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factor 2(x+3)(x-2)^3+(x+3)^2*3(x-2)^2

factor

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

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

Solution steps

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

Factor out common term

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

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

Expand

2 (x - 2) + (x + 3) \cdot 3 : 5 x + 5

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

Factor

5 x + 5 : 5 (x + 1)

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

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

\frac{8 ( 3 ) - 3 ( 4 ) ^{2}}{3 ( 3 ) ^{2} - 8 ( 4 )}

722

7 a^{2} - 11 a + 4

8 x - x^{2} - 7

200 + 750 t - 16 t^{2} = 0

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