What is the product of (3x-9) and 6x^2-2x+5? Write your answer in standard form.

a) Show your work.

b) Is the product of (3x-9) and 6x^2-2x+5 equal to the product of (9x-3) and 6x^2-2x+5? Explain your answer.

Step-by-step explanation:

a. Given

and

Required

Product

The solution is as follows

First, put both expression in different brackets

Expand bracket by

To do that. we first multiply by 3x then by -9. This is done as follows

Now, we proceed to opening the bracket

Open both brackets

Collect like terms

Hence, the product of and is

b. Given

Required

Are their products equal?

To check if they are equal or not, we find the product of both and compare the solutions

We've already solved for and in the (a) part of this exercise, so we move to the product of and

The solution is as follows

First, put both expression in different brackets

Expand bracket by

To do that. we first multiply by 9x then by -3. This is done as follows

Now, we proceed to opening the bracket

Open both brackets

Collect like terms

Now, we compare both answers

Is

equal to

No, they're not.

Reason is that, for both expressions to be equal, we must have the same expression after expanding both of them

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step-by-step explanation: