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

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

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

factor

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

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

Solution steps

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

Factor out common term

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

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

Expand

3 x - 2 y + 2 (x + y) : 5 x

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

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

2 t^{2} + 5 t + 2

- \frac{8}{8}

- 3 x = 18

g - 9 = - 19

7 X + 2 \leq 16

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