Respuesta :

In order to expand this expression, we need to first multiply 2 of the terms and then use the solution to multiply the last term. In this case,

We will first multiply (x+3)(x-3),

x^2-3x+3x-9, we can simplify this to x^2-9

Now we multiply (x^2-9) and (3x+2)

3x^3+2x^2-27x-18

This cannot be simplified any further so your final answer is

3x^3+2x^2-27x-18

The resulting function on expansion is 3x³+2x²-27x - 18

Given the expression (x+3)(x-3)(3x+2)

On simplification,

(x+3)(x-3)(3x+2) = (x²-9)(3x + 2)

(x+3)(x-3)(3x+2) = x²(3x) + 2x² - 9(3x) -9(2)

(x+3)(x-3)(3x+2) = 3x³+2x²-27x - 18

Hence the resulting function on expansion is 3x³+2x²-27x - 18

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