expand the expression to a polynomial in standard form:
$(x + 5)(4x + 3)(x - 1)$

Question

Accepted Answer

# Explanation:
## Step1: Multiply the first two binomials
First, multiply $(x + 5)$ and $(4x + 3)$ using the distributive property (FOIL method).
$$
\begin{align*}
(x + 5)(4x + 3)&=x(4x + 3)+5(4x + 3)\
&=4x^2+3x + 20x+15\
&=4x^2+23x + 15
\end{align*}
$$
## Step2: Multiply the result by the third binomial
Now, multiply $(4x^2+23x + 15)$ by $(x - 1)$ using the distributive property.
$$
\begin{align*}
(4x^2+23x + 15)(x - 1)&=4x^2(x - 1)+23x(x - 1)+15(x - 1)\
&=4x^3-4x^2+23x^2-23x + 15x-15\
&=4x^3+( - 4x^2+23x^2)+( - 23x + 15x)-15\
&=4x^3+19x^2-8x - 15
\end{align*}
$$
# Answer:
$4x^3 + 19x^2 - 8x - 15$

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QUESTION IMAGE

Question

Explanation:

Step1: Multiply the first two binomials

Step2: Multiply the result by the third binomial

Answer: