Answer: 3t²(2st⁷ - s⁶ - 2t⁵)
Step-by-step explanation:
5s⁶t² + 6st⁹ - 8s⁶t² - 6t⁷ 5s⁶t² and - 8s⁶t² are like terms which = -3s⁶t² when combined
= 6st⁹ - 3s⁶t² - 6t⁷ next, factor out the GCF of 3t²
= 3t²(2st⁷ - s⁶ - 2t⁵)
The statement is true about polynomial that the greatest common factor of the polynomial is 3t².
A polynomial is an algebraic statement made up of variables and coefficients.
Variables are sometimes known as unknowns. We can use arithmetic operations like addition, subtraction, and so on. However, the variable is not divisible.
Given polynomial;
⇒5s⁶t² + 6st⁹ - 8s⁶t² - 6t⁷
Simplify the polynomial as;
⇒(5-8)s⁶t²+6st⁹ - 6t⁷
⇒-3s⁶t²+6st⁹ - 6t⁷
Take 3t² from polynomial we get;
⇒3t²(2st⁷ - s⁶ - 2t⁵)
The term which can be taken common from the each term of polynomial is gratest common factor.
Hence,the statement is true about polynomial that the greatest common factor of the polynomial is 3t².
To learn more about polynomials, refer to:
https://brainly.com/question/17822016
#SPJ2
