Which is the product?
2 answers:
Question:
Iliana multiplied 3p – 7 and 2p^2 – 3p – 4. Her work is shown in the table.
Which is the product?
6p^3 + 23p^2 + 9p + 28
6p^3 – 23p^2 – 9p + 28
6p^3 – 23p^2 + 9p + 28
6p^3 + 23p^2 – 9p + 28
Answer:
Option C: is the correct answer.
Explanation:
The two expressions are and
The product of the expression can be determined by multiplying each of the first term with the second term of the expression, we get,
Simplifying we have,
Adding the like terms, we have,
Thus, the product of the two expression is
Hence, Option C is the correct answer.
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So we are given the expression:
÷
When we divide fractions, we must flip the second term and change the sign to multiplication:
And then we multiply across:
Then we can break apart all of the like variables for simplification:
When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:
So then we multiply all of these simplified parts together:
So now we know that the simplified form of the initial expression is: .