Question

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

Answer 1

[0010001111]... Hello User... [1001010101]
Here's your answer...

Let 2x-5y be a and 2x+5y be b
${a}^{3} - {b}^{3} \\ = (a - b)( {a}^{2} + ab + {b}^{2} )$
Substituting the values of a and b in this equation...
$(2x - 5y - 2x - 5y)( {(2x - 5y)}^{2} + (2x - 5y)(2x + 5y) + {(2x + 5y)}^{2} \\ = - 10y(4 {x}^{2} - 20xy + 25 {y}^{2} + 4 {x}^{2} - 25 {y}^{2} + 4 {x}^{2} + 20xy + 25 {y}^{2} ) \\ = - 10y(12 {x}^{2} + 25 {y}^{2} ) \\ = - 120 {x}^{2} y - 25 {y}^{3}$
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Answer 2

(2x-5y)³-(2x+5y)³

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By formula,
a³-b³ = (a-b) (a²+ab+b²)
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$(2x - 5y -( 2x + 5y) )((2x - 5y)^{2} + (2x + 5y)(2x - 5y) + (2x + 5y)^{2} ) \\ \\ (2x - 5y -2x - 5y)(4 {x}^{2} + 25 {y}^{2} - 20xy + 4 {x}^{2} - 10xy + 10xy - 25 {y}^{2} + 4 {x}^{2} + 25 {y}^{2} + 20xy )\\ \\ (-10y) (12 {x}^{2} + 25 {y}^{2} )$


-120yx² -250y³


I hope this will help you

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