Math, asked by DiyaPrithiani, 3 months ago

plz answer this question fast​

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Answered by Anonymous
1

Answer:

250(a-b)³ = 250{(a-b)(a²+ab+b²)} + 2

= 250(a-b)(a²+ab+b²) + 2

= (250a - 250b)(a²+ab+b²) + 2

= 250a³ + 250a²b + 250ab² - 250a²b -

250ab² - 250b³ + 2

= 250a³ - 250b³ + 2

= 2(125a³ - 125b³ + 1)

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Answered by Anonymous
1

\huge\mathfrak\red{answer \:  \:  \:  \:  \:  \: ✎}

250 \:  {(a - b)}^{3}  + 2

 \:  \:  \:  \:  \:  \:  \:  = 2[125 {(a - b)}^{3}  + ]

 \:  \:  \:  \:  \:  \:  \:  = 2[{5 {(a - b)}}^{3}  +  {(1)}^{3} ]

 \:  \:  \:  \:  \:  \:  \:  = [5(a - b) + 1] \: [25 {(a - b)}^{2}  - 5(a - b) +  {(1)}^{2} ]

 \:  \:  \:  \:  \:  \:  = (5a - 5b + 1) \\ [25( {a}^{2}  +  {b}^{2}  - 2ab) - 5a + 5b + 1

 = 2(5a - 5b + 1)(25 {a}^{2}  + 25 {b}^{2}  - 50ab - 5a + 5b + 1

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