Question

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

Answer 1

Answer:

2x³+9x²=10

Step-by-step explanation:

x³-8+9x²+3x-3x-1= x³+1

x³+9x²+3x-3x-x³=1+8+1

2x³+9x²=10

Answer 2

Answer:

$x = \frac{10}{9}$

Step-by-step explanation:

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

$x^3-6x^2+12x-8+9x^2-1=x^3+3x^2+3x+1$

$x^3+3x^2+12x-9=x^3+3x^2+3x+1$

$x^3+3x^2+12x=x^3+3x^2+3x+10$

$12x=3x+10$

$9x = 10$

$x = \frac{10}{9}$