Question

simplify (2x-5y)² - (2x+5y)³​

Answer 1

Answer:

4x²+25y²-20xy-8x³-125y³-60x²y-150xy²

Step-by-step explanation:

We know that (a-b)²=a²+b²-2ab

and (a+b)³=a³+b³+3a²b+3ab²

Using these identities, we get,

${(2x - 5y)}^{2} - {(2x + 5y)}^{3} \\ = ( 4{x}^{2} + 25{y}^{2} - 2 \times 2x \times 5y) - (8 {x}^{3} + 125 {y}^{3} + 3 \times {(2x)}^{2} + 3 \times 2x \times {(5y)}^{2} ) \\ = 4 {x}^{2} + 25 {y}^{2} - 20xy - 8 {x}^{3} - 125 {y}^{3} - 60 {x}^{2} y - 150x {y}^{2}$

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