32 ( f(x)=(-3 x^{2}+2) cdot 2 x^{4} )

Question

Accepted Answer

# Explanation:
## Step1: Use the distributive property $a(b + c)=ab+ac$
$$
\begin{align*}
f(x)&=(-3x^{2}+2)\cdot2x^{4}\
&=-3x^{2}\cdot2x^{4}+2\cdot2x^{4}
\end{align*}
$$
## Step2: Use the rule of exponents $a^{m}\cdot a^{n}=a^{m + n}$
For $-3x^{2}\cdot2x^{4}$, we have $(-3\times2)x^{2 + 4}=-6x^{6}$
For $2\cdot2x^{4}$, we have $4x^{4}$

## Step3: Combine the terms
$f(x)=-6x^{6}+4x^{4}$

# Answer:
$f(x)=-6x^{6}+4x^{4}$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Step1: Use the distributive property \(a(b + c)=ab+ac\)

Step2: Use the rule of exponents \(a^{m}\cdot a^{n}=a^{m + n}\)

Step3: Combine the terms

Answer: