Which is true about the completely simplified difference of the polynomials a3b + 9a2b2 − 4ab5 and a3b − 3a2b2 + ab5? The difference is a binomial with a degree of 5.

The difference is a binomial with a degree of 6.

The difference is a trinomial with a degree of 5.

The difference is a trinomial with a degree of 6.

Respuesta :

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Let be A =a3b +9a2b2-4ab5, and B=a3b-3a2b2+ab5,so the difference can be defined as A - B =a3b +9a2b2-4ab5 -(a3b-3a2b2+ab5), when there is negative sign in front of the parathesis, all the inside signs must change: that is as follow: A- B= a3b +9a2b2-4ab5 - a3b + 3a2b2 - ab5= a3b-a3b +9a2b2+3a2b2-4ab5- ab5= 12a2b2 -5ab5, the fist term has 2+2=4, as a degree,the second term has 1 +5 =6, so the true answer : The difference is a binomial with a degree of 6

The difference of the polynomial is a binomial of degree 6.

Polynomial

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Polynomials are classified based on degree as linear, quadratic, cubic and so on.

The difference between the polynomials is:

(a³b+ 9a²b² - 4ab⁵) - (a³b - 3a²b² + ab⁵) = 12a²b² - 5ab⁵

The difference of the polynomial is a binomial of degree 6.

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