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elijahjoyner20
30.04.2021 •
Mathematics
What shape is created by the intersection of a horizontal plane through an upright cone?
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Ответ:
Option (a) is correct.
fully factored form of given expression
is ![4a^2(8a+3)](/tpl/images/0248/4745/6c96f.png)
Step-by-step explanation:
Given expression :![32a^3+12a^2](/tpl/images/0248/4745/1c7db.png)
We have to write the given expression in factored form and choose a correct option out of given options.
Factorization is the process of writing the an expression in form of factors such that when we multiply we get the same expression.
Consider the given expression
consider first term
can be written as ![32a^3=2\cdot 2 \cdot 2 \cdot 2 \cdot 2\cdot a \cdot a \cdot a](/tpl/images/0248/4745/b625f.png)
Similarly ,
can be written as ![12a^3=2\cdot 2 \cdot 3 \cdot a \cdot a](/tpl/images/0248/4745/ad49e.png)
Now, consider the given expression![32a^3+12a^2](/tpl/images/0248/4745/1c7db.png)
taking common terms out of the both factors, we have![32a^3+12a^2=4a^2(8a+3)](/tpl/images/0248/4745/7c7c5.png)
Thus, option (a) is correct.