Math, asked by vijayapriya407, 18 days ago

Evaluate ( 7/8x+4/5y) ^2​

Answers

Answered by XmorattusingleX007
0

Answer:

hi math lover

Step-by-step explanation:

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Attachments:
Answered by spbankingandsscserie
25

Question -:

Evaluate:

 \small \sf( \frac{7}{8} x +  \frac{4}{5} y {)}^{2}

Explanation -:

Formula

 \boxed{ \small \sf (a + b {)}^{2}  =  {a}^{2}  + 2ab +  {b}^{2} }

Solution

 \small\bf ( \frac{7}{8}x +  \frac{4}{5} y {)}^{2}

 →\small \sf{( \frac{7}{8}x {)}^{2} + 2 \times  \frac{7}{8}x \times  \frac{4}{5}y + ( \frac{4}{5}y {)}^{2}      }

→ \small\sf { \frac{49}{64} {x}^{2}   +  \frac{7xy}{5}  +  \frac{16 {y}^{2} }{25}  }

 \rule{60mm}{1pt}

Additional Information -:

 \star \:  \boxed {\small\sf (a + b {)}^{2}  =  {a}^{2}  + 2ab +  {b}^{2} }

 \star \boxed{ \small \sf{(a - b {)}^{2}  =  {a}^{2} - 2ab +  {b}^{2}  }}

 \star\boxed { \small \sf{ {a}^{2} -  {b}^{2} = (a + b)(a - b)  }}

 \star\boxed { \small\sf{ {a}^{3} +  {b}^{3} = (a + b) ( {a}^{2} - ab +  {b}^{2}  ) }}

 \star\boxed { \small\sf{ {a}^{3}  -   {b}^{3} = (a  -  b) ( {a}^{2}  + ab +  {b}^{2}  ) }}

 \rule{65mm}{3pt}

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