Answer:
a = 5q²
b = r²s
Step-by-step explanation:
The given identity is [tex]a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})[/tex]
we have to use this identity to factor of two cubes given as [tex][tex]125q^{6}-r^{6}s^{3}=(5q^{2})^{3}-(r^{2}s)^{3}[/tex][/tex]
As this expression is in the form of a³- b³
Here a is 5q² and b is r²s.
Answer:
What is a? ✔ 5q² (which is the first choice)
What is b? ✔ r²s (which is the last choice)
Factor the expression:
(5q^2-r^2s) (25q^4+ 5q^2r^2s+ 1r^4s^2)
The answer of the numbers are in bold for the factor expression
Step-by-step explanation:
