What is the area of the shaded part of the circle? i need to understand the formula and the steps.

What is the area of the shaded part of the circle? i need to understand the formula and the steps.<

Solved

Show answers

Ответ:

Squara

06.04.2021

Mathematics

Option A $4 a^{2}(8 a+3)$

The fully factored form of $32 a^{3}+12 a^{2}$ is $4 a^{2}(8 a+3)$

Solution:

Given that the expression is:

$32 a^{3}+12 a^{2}$

We are asked to find the fully factored form of given expression

Taking factors of each term in the given expression:

$\begin{array}{l}{32=2 \times 2 \times 2 \times 2 \times 2=2^{5}} \\\\ {a^{3}=a \times a \times a} \\\\ {12=2 \times 2 \times 3} \\\\ {a^{2}=a \times a}\end{array}$

So the given expression is written as:

$32 a^{3}+12 a^{2}=2^{5} \times(a \times a \times a)+2^{2} \times 3 \times(a \times a)$

Taking Greatest common factor out we get:

$\begin{array}{l}{32 a^{3}+12 a^{2}=2^{2} a^{2}\left(2^{3} a+3\right)} \\\\ {32 a^{3}+12 a^{2}=4 a^{2}(8 a+3)}\end{array}$

Which is the required result

Hence Opion a) is correct

0,0(0 оценок)

Ask your question to the AI advisor

Ai-bot is an expert in any field and is the perfect companion for reliable and useful answers and advice on a variety of topics, including science, history, technology, art, sports, health, culture and more.

Ask your question

More tips

Answers on questions: Mathematics

Ask an AI advisor a question

I want advice