Answer:
Answer C
Step-by-step explanation:
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According to the polynomial expressions the given operation is performed which matches the equivalent result:
D. P +Q
What are Polynomials?
Polynomials are expressions which consist of variables, coefficients, constants and exponents, usually expressed in addition, subtraction or multiplication operations.
For example:
8y⁴ + 6y³ + 8y
In this equation we have coefficients: 8, 6 and 8
Exponents: 4 and 3
Variable: y
Hence,the question consists of polynomial functions in the variable y with different degrees.
Given
P = 8y⁴ + 6y³ + 8y
Q = (5y² - 4y)(3y² + 7)
We are asked to find which operation among the given list matches the equivalent result i.e 23⁴ - 6y³ +35y² - 20y4
Solution:
P = 8y⁴ + 6y³ + 8y
Q = (5y² - 4y)(3y² + 7)
step 1:
Open the brackets of the Q polynomial
Q = (5y² - 4y)(3y² + 7)
Q= (5y²)(3y²) + (5y²)(7) - (4y)(3y²) - (4y)(7)
Q= 15y⁴ + 35y² - 12y³ - 28y
Step 2:
Now add both P and Q
P+Q
(8y⁴ + 6y³ + 8y ) + (15y⁴ + 35y² - 12y³ - 28y)
we get the answer as:
23y⁴ - 6y³ + 35y² - 20y
Hence the solution of the addition operation we performed is equivalent to 23y⁴ - 6y³ + 35y² - 20y
Learn more about "poynomials" here-
brainly.com/question/2833285
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