# Explanation: ## Step1: Multiply the first two factors First, multiply \((x + 2)\) and \((x + 3)\) using the distributive property (FOIL method). \[ \begin{align*} (x + 2)(x + 3)&=x\times x+x\times3 + 2\times x+2\times3\\ &=x^{2}+3x + 2x+6\\ &=x^{2}+5x + 6 \end{align*} \] ## Step2: Multiply the result with the third factor Now, multiply the result \((x^{2}+5x + 6)\) with \((x + 4)\) \[ \begin{align*} &(x^{2}+5x + 6)(x + 4)\\ =&x^{2}\times x+x^{2}\times4+5x\times x+5x\times4 + 6\times x+6\times4\\ =&x^{3}+4x^{2}+5x^{2}+20x+6x + 24\\ =&x^{3}+(4x^{2}+5x^{2})+(20x + 6x)+24\\ =&x^{3}+9x^{2}+26x + 24 \end{align*} \] # Answer: \(x^{3}+9x^{2}+26x + 24\)

(x+2)(x+3)(x+4)

QUESTION IMAGE

Question

(x+2)(x+3)(x+4)

Explanation:

Step1: Multiply the first two factors

First, multiply \((x + 2)\) and \((x + 3)\) using the distributive property (FOIL method).

$$ LATEXBLOCK0 $$

Step2: Multiply the result with the third factor

Now, multiply the result \((x^{2}+5x + 6)\) with \((x + 4)\)

$$ LATEXBLOCK1 $$

Answer:

\(x^{3}+9x^{2}+26x + 24\)