Question

(2x-5y)³-(2x+5y)³ simplify it​

Answer 1

Answer:

−250y3 − 120x2y

Step-by-step explanation:

We have the formula that

(a−b)3 = a3 − b3 − 3ab(a−b)

(a+b)3 = a3 + b3 + 3ab(a+b)

The given question is (2x−5y)3 − (2x+5y)3

= (8x3 − 125y3 − 30xy(2x−5y)) − (8x3 + 125y3 + 30xy (2x+5y) )

= 8x3 − 125y3 − 60x2y + 150xy2 − 8x3 − 125y3 − 60x2y − 150xy2

= −250y3 − 120x2y

Answer 2

Answer:

-120x^2y-250y^3

Step-by-step explanation:

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

By formula:a^3-b^3

We have,

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

=[(2x-5y) -(2x+5y)]×[(2x-5y) ^2+(2x-5y) (2x+5y) +(2x+5y) ^2]

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

=-10y×{[4x^2-4x5y+25y^2]+4x^2+10xy-10xy-25y^2+[4x^2+4x5y+25y^2]}

=-10y[4x^2-4x5y+25y^2+4x^2-25y^2+4x^2+4x5y+25y^2]

=-10y[4x^2+4x^2+4x^2+25y^2]

=-10y[12x^2+25y^2]

=-120x^2y-250y^3