Question

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

Answer 1

Answer:

Step-by-step explanation:

2x-5y=a. 2x+5y=b A^3-b^3=?

(A-b)(a^2+ab+b^2)=(a-b)((a+b)^2-ab)=(2x-5y-2x-5y).((4x)^2-(4x^2-25y^2)= -10y.(16x^2-4x^2+25y^2)=-10y(12x^2+25y^2)=

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

Answer 2

Solution:-

given => (2x-5y)³ - (2x+5y)³

so, (2x-5y)³-(2x+5y)³

=8x³-125y³-3*2x*5y(2x-5y)-[8x³+125y³+3*2x*5y(2x+5y)]

=8x³-125y³-3*2x*5y(2x-5y)-8x³-125y³-3*2x*5y(2x+5y)]

=-250y³-60x²y+150xy²-60x²y-150xy²

=-250y³-120x²y

or

(a-b)³-(a+b)³=-2b³-6(a²b)

=-2(5y)³-6(2x*2x*5y)

=-2(125y³)-120x²y

=-250y³-120x²y

= -(250y³+120x²y)

i hope it helps you.