Question

Expand and simplfy (x+3)(x-3)(3x+2)

Answer 1

Answer:

${3x}^{3} + {2x}^{2} - 27x - 18$

Step-by-step explanation:

1) Use difference of squares: a² - b² = (a + b) (a - b).

$( {x}^{2} - {3}^{2} )(3x + 2)$

2) Simplify 3² to 9.

$( {x}^{2} - 9)(3x + 2)$

3) Use The FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

${3x}^{3} + {2x}^{2} - 27x - 18$

Therefor, the answer is 3x³ + 2x² + -26x -18.