Jakie mad 6 quarts of lemonade. Jackie says that she made 3 pints of lemonade. Exspain her error
2 answers:
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Answer:
- The product of
and
is
- No, they are not equal
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
and
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
