Question

Which polynomial correctly combines the like terms and expresses the given polynomial in standard form? 8mn5 – 2m6 5m2n4 – m3n3 n6 – 4m6 9m2n4 – mn5 – 4m3n3 n6 7mn5 14m2n4 – 5m3n3 – 6m6 –2m6 – 5m3n3 14m2n4 7mn5 n6 14m2n4 7mn5 – 6m6 – 5m3n3 n6 n6 – 6m6 7mn5 14m2n4 – 5m3n3.

Answer 1

The polynomial correctly combines the like terms and expresses the given polynomial in standard form is,

$f(m,n)=n^6 +7mn^5 +14m^2n^4 - 5m^3n^3 - 6m^6 -2m^6$

Hence the option A is the correct option.

What is polynomial equation?

A polynomial equation is the equation in which the unknown variable is one and the highest power of the unknown variable is n.

Here n can be any real number.

Given information-

The polynomial equation given in the problem is,

$8mn^5-2m^6+ 5m^2n^4 - m^3n^3 +n^6 - 4m^6 +9m^2n^4 - mn^5 -4m^3n^3$

Let the above polynomial is $f(m,n)$. Thus,

$f(m,n)=8mn^5-2m^6+ 5m^2n^4 - m^3n^3 +n^6 - 4m^6 +9m^2n^4 - mn^5 -4m^3n^3$

The terms with same base and exponents can be add or subtract from each other. Thus solve the equation further as,

$f(m,n)=(8mn^5 - mn^5)-2m^6+ (5m^2n^4 +9m^2n^4) -( m^3n^3-4m^3n^3) +n^6 - 4m^6 \\f(m,n)=7mn^5-2m^6+14m^2n^4 -5m^3n^3+n^6-6m^6$

Arrange it as,

$f(m,n)=n^6 +7mn^5 +14m^2n^4 - 5m^3n^3 - 6m^6 -2m^6$

Thus the polynomial correctly combines the like terms and expresses the given polynomial in standard form is,

$f(m,n)=n^6 +7mn^5 +14m^2n^4 - 5m^3n^3 - 6m^6 -2m^6$

Hence the option A is the correct option.

Learn more about the polynomial equation here;

https://brainly.com/question/2833285

Answer 2

Answer:

it is A

Step-by-step explanation: