Question

simplify (2×-5y)3-(2×+5y)3​

Answer 1

Answer:

Step-by-step explanation:We have,

(a−b)  

3

=a  

3

−b  

3

−3ab(a−b)

(a+b)  

3

=a  

3

+b  

3

+3ab(a+b)

(2x−5y)  

3

−(2x+57)  

3

 

=(8x  

3

−125y  

3

−30xy(2x−5y))−(8x  

3

+125y  

3

+30xy(2x+5y))

=8x  

3

−125y  

3

−60x  

2

y+150xy  

2

−8x  

3

−125y  

3

−60x  

2

y−150xy  

2

 

=−250y  

3

−120x  

2

y

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Answer 2

Answer:

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

Step-by-step explanation:

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