Answer:
a= 4x^2
b= 3
and the second question is B
Step-by-step explanation:
it is correct on edge 2020
The equivalent expression is:[tex]8q^6r^3 + 27s^6t^3 = [(2q^2r) + (3s^2t)][(2q^2r)^2 -(2q^2r) (3s^2t)+ (3s^2t)^2][/tex]
The sum of cubes is an expression that is used to simplify an expression where two cubes are added
The identity is given as:
[tex]a^3 + b^3 = (a + b)(a^2 -ab+b^2)[/tex]
The sum of two cubes is given as:
[tex]8q^6r^3 + 27s^6t^3[/tex]
Express each term as cubes
[tex]8q^6r^3 + 27s^6t^3 = (2q^2r)^3 + (3s^2t)^3[/tex]
Apply the identity for the sum of two cubes
[tex]8q^6r^3 + 27s^6t^3 = [(2q^2r) + (3s^2t)][(2q^2r)^2 -(2q^2r) (3s^2t)+ (3s^2t)^2][/tex]
Hence, the equivalent expression is:
[tex]8q^6r^3 + 27s^6t^3 = [(2q^2r) + (3s^2t)][(2q^2r)^2 -(2q^2r) (3s^2t)+ (3s^2t)^2][/tex]
Read more about the sum of cubes at:
https://brainly.com/question/3638399
