Question

(x+3)(x-3)(3x+2) expand and simplify

Answer 1

Answer:

3x³+2x²-27x-18

Step-by-step explanation:

(x+3)(x-3)(3x+2)

= (x² - 3²) (3x+2)

= (x²-9)(3x+2)

= 3x(x²-9)+2(x²-9)

= 3x³-27x+2x²-18

= 3x³+2x²-27x-18

Answer 2

Answer:

$3x^3 + 2x^2 + 27x + 18$

Step-by-step explanation:

= $[(x+3)(x-3)] * (3x+2)$

Using the formula $a^{2} -b^{2} =(a+b)(a-b)$,

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

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

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

= $(x^2 * 3x) + (x^2 * 2) + (-9 * 3x) + (-9 * 2)$

= $(3x^3) + (2x^2) - (27x) - (18)$