Question

factorise 125 x^2-64 y^2

Answer 1

Answer:

125x²-64y²

Step-by-step explanation:

equation at the end of step 1

(125.x²)-2⁶y²

equation at the end of the step 2

5³.x²-2⁶y²

trying tofactor as a difference of squares

factoring 125x²-64y²

Theory:a difference of two perfect squares A²-B² can be factored into (A+B).(A-B)

A²-AB+BA-B²

A²-AB+AB-B²

A²-B²

Note:AB=BA is the commutative property of multiplication

125 is not a square

Ruiling:Binomial can not be factored as the difference of two perfect squares

final result 125x²-64y²