What is the fully factored form of 32a3  + 12a2?

4a2(8a  + 3)

4a(8a2  + 3a)

12a2(3a  + 1)

12a(3a2  + a)

Option A

The fully factored form of is

Solution:

Given that the expression is:

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

Taking factors of each term in the given expression:

So the given expression is written as:

Taking Greatest common factor out we get:

Which is the required result

Hence Opion a) is correct

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.

a. 32 degrees

step-by-step explanation:

here we have to use the rule.

m∠e = 1/2 (major arc - minor arc)

m∠e = 1/2 (212 - 148)

m∠e = 1/2 (64)

m∠e = 32 degrees

answer: a. 32 degrees

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