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3 votes
What is the product?

What is the product?-example-1

2 Answers

3 votes

Answer:

Choice b is the answer.

Explanation:

We have given two expression.


(2a-7)/(a).(3a^(2) )/(2a^(2)-11a+14 )

We have to find their product.


(2a-7)/(a).(3a^(2) )/(2a^(2)-7a-4a+14 )


(2a-7)/(a).(3a.a)/(a(2a-7)-2(2a-7))


(2a-7)/(a).(3a.a)/((2a-7)(a-2))


(2a-7)/(2a-7).(3a.a)/(a).(1)/(a-2)


(3a)/(a-2)
which is the answer.

User ForEveR
by
7.2k points
5 votes

Answer:

Choice B is correct

Explanation:

The first step would be to factorize the expression;


2a^(2) -11a+14

To do this we have to determine two numbers whose product is 2(14) =28 and sum -11. By trial and error the two numbers are -7 and -4. We then substitute this two numbers in place of -11 in the expression to obtain;


2a^(2)-4a-7a+14\\ 2a(a-2)-7(a-2)\\(2a-7)(a-2)

The product now becomes;


(2a-7)/(a) *(3a^(2) )/((2a-7)(a-2))\\(3a)/(a-2)

User ZokiManas
by
6.9k points