Question

simplify (2x-5y)^3-(2x-5y)^3

Answer 1

(2x-5y)³-(2x+5y)³

lets use the property here :)

a³-b³ = (a-b)(a²+b²+ab)

=> (2x-5y-2x-5y)[{2x-5y}²+{2x+5y}²+(2x-5y)(2x+5y)]

=> -10y(4x²+25y²-20xy+ 4x²+25y²+20xy+4x²-25y²)

(a+b)(a-b) = a²-b² -------------> [property]

= -10y(12x²+25y²)

Answer 2

Answer:

a³-b³ = (a-b)(a²+b²+ab)

=> (2x-5y-2x-5y)[{2x-5y}²+{2x+5y}²+(2x-5y)(2x+5y)]

=> -10y(4x²+25y²-20xy+ 4x²+25y²+20xy+4x²-25y²)

(a+b)(a-b) = a²-b² -------------> [property]

= -10y(12x²+25y²)

Step-by-step explanation: