Question

Which of the following expressions are equivalent to polynomial:

((6x9°) (7xy?)) – ((92'y?). (3xy')) + (8xy?)??
Select all that apply.
15x^ y11 + 8xPy4
-15x^y11 + 64x²2y4
42x^y11 – 27x^y11 + 642y4
15x^y11 + 64x²y4
42vyº – 27x^;? + 64x22y4

Answer 1

The student's polynomial expressions contain typographical errors and unspecified exponents, which makes it impossible to accurately determine equivalent expressions. The process typically involves multiplying coefficients and adding exponents, then simplifying expressions, but cannot be completed due to the errors.

Step-by-step explanation:

The student is asking about the equivalence of different polynomial expressions to a given polynomial: ((6x9)(7xy?)) - ((92'y?) (3xy')) + (8xy?)??. To find the equivalent expressions, we need to perform the operations indicated and simplify the terms.

First, we multiply the coefficients and add the exponents of the terms with the same base to simplify the original polynomial:

• For the term (6x9)(7xy?), we multiply 6 by 7 to get 42 and sum the exponents of x to get x10 and the exponents of y to get y?, resulting in 42x10y?.
• For the term ((92'y?) (3xy')), we again multiply the coefficients and add the exponents, resulting in 27x2y?.
• Finally, for the term (8xy?)??, we raise the coefficients and the exponents by the power of 2, resulting in 64x2y4.

Putting it all together, we have:

42x10y? - 27x2y? + 64x2y4

Note that I could not complete the answer as the question contains several typographical errors and unspecified exponents (indicated by ? and '), thus making it impossible to determine the precise polynomial terms and their equivalents. Therefore, I cannot confidently consolidate an accurate final expression.