Math, asked by sumithrakadambala, 1 month ago

solve please if you are a math genious please​

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Answers

Answered by CopyThat
23

Step-by-step explanation:

Given:

  • a - b = 7
  • ab = 18

To find:

  • a³ - b³

Solution:

We know:

  • (a - b)³ = a³ - b³ - 3ab(a - b)

We can write this as:

⇒ a³ - b³ = (a - b)³ - 3ab(a - b)

⇒ a³ - b³ = (7)³ - 3(18)(7)

⇒ a³ - b³ = 343 - 378

∴ a³ - b³ = -35

The value of a³ - b³ = -35.

Answered by TanmayStatus
9

\huge{♥}{\underline{\mathtt{\red{A}\pink{η}\green{s}\blue{ω}\purple{ε}\orange{я}}}}{♥}

 \bf{( {a}^{3}  \:  \:  -  \:  {b}^{3} ) \:  =  \: ( \:  - 35)}

\huge{♥}{\underline{\mathtt{\red{E}\pink{x}\green{p}\pink{l}\blue{a}\purple{n}\orange{a}\green{t}\red{i}\pink{o}\purple{n}}}}{♥}

 \bf{a  \: —  \: b \:  =  \: 7 \:  , \:  ab \:  = \:  18 \:   \: then \: \:    {a}^{3}  \: —  \:  {b}^{3}  \: =}

 \bf{a \:  -  \: b \: , \: 7}

 \bf{ab \:  =  \:18}

  \bf{{a}^{3}  \:  -  \:  {b}^{3}  \:  =  \: ?}

 \bf {{( \: a  \: -  \: b \: )}^{3} \:  =  \:  {a}^{3} \:  -  \:  {b}^{3} \:  -  \: 3ab \: ( \: a \:  -  \: b \: )}

 \bf{ {a}^{3}  \:  -  \:  {b}^{3} \:  =  \: {( \: a \:  -  \: b \: )}^{3}  \:  -  \: 3ab \: ( \: a \:  -  \: b \: ) }

 \bf{ {a}^{3}  \:  -  \:  {b}^{3}  \:   =  \:  {( \: 7 \: )}^{3} \: 3 \: (18) \: (7) }

 \bf{ =  \: 343 \:  - 378}

 \bf{( {a}^{3}  \:  \:  -  \:  {b}^{3} ) \:  =  \: ( \:  - 35)}

I hope it's helps you.

Please markerd as brainliest answer.

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