Mathematics: Find the intersection of the three sets: A = {–2, 7, 8, 9}, B = {–2, 5, 9}, C = {–2, 5, 9}. A {–2, 5, 7, 8, 9}B null setC {–2, 5, 8, 9}D {–2, 9}

Find the intersection of the three sets: A =

matlenanem4437

08.01.2021

Option (a) is correct.

fully factored form of given expression 32a^3+12a^2 is 4a^2(8a+3)

Step-by-step explanation:

Given expression : 32a^3+12a^2

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

32a^3+12a^2

consider first term 32a^3 can be written as $32a^3=2\cdot 2 \cdot 2 \cdot 2 \cdot 2\cdot a \cdot a \cdot a$

Similarly , 12a^2 can be written as $12a^3=2\cdot 2 \cdot 3 \cdot a \cdot a$

Now, consider the given expression 32a^3+12a^2

taking common terms out of the both factors, we have 32a^3+12a^2=4a^2(8a+3)

Thus, option (a) is correct.

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