Find the continued products $$ m+1, m-2, m+3 $$

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To find the continued products of $$ m+1, m-2, m+3 $$, we need to multiply these expressions together.

The continued product of $$ m+1, m-2, m+3 $$ can be calculated as follows:

$$
(m+1)(m-2)(m+3)
$$

Let's expand this expression to find the continued product.
Simplify the expression by following steps:
- step0: Calculate:
  $$\left(m+1\right)\left(m-2\right)\left(m+3\right)$$
- step1: Multiply the terms:
  $$\left(m^{2}-m-2\right)\left(m+3\right)$$
- step2: Apply the distributive property:
  $$m^{2}\times m+m^{2}\times 3-m\times m-m\times 3-2m-2\times 3$$
- step3: Multiply the terms:
  $$m^{3}+3m^{2}-m^{2}-3m-2m-6$$
- step4: Subtract the terms:
  $$m^{3}+2m^{2}-5m-6$$
The continued product of $$ m+1, m-2, m+3 $$ is $$ m^{3}+2m^{2}-5m-6 $$.
The continued product is $$ m^{3}+2m^{2}-5m-6 $$.

Find the continued products \( m+1, m-2, m+3 \)

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