Question

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

Answer 1

Answer:

Step-by-step explanation:

(2x-5y)^3

As we know that

(a-b)^3=a^3-b^3-3a^2b+3ab^2

(2x)^3-(5y)^3-3(2x)^25y+3*2x(5y)^2

8x^3-125y^3-4x^2*15y+6x*25y^2

8x^3-125y^3-60x^2y+150xy^2

Answer 2

hi mate,

(2x-5y)³-(2x+5y)³

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

= -10y(12x²+25y²)

i hope it helps you.