Math, asked by Sherysarangal, 7 months ago

plz tell me answer

i need only answer plz tell
if anyone help me​

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Answers

Answered by LoknathDas31
0

Answer:

(1/2x)^2 - 2.1/2x.3/2y + (3/2y)^2

= 1/4 x^2 + 3/2xy + 9/4y^2

Answered by Anonymous
14

\huge\mathfrak\blue{Answer:}

Given:

  • We have been given a expression :
  • {(\dfrac{1}{2}x -  \dfrac{3}{2}y)}^{2}

To Find:

  • We have to find the expansion of given algebric expression

Solution:

We have been given :

 =  > {(\dfrac{1}{2}x -  \dfrac{3}{2}y)}^{2}

 =  >  {( \dfrac{x}{2}  -  \dfrac{3y}{2}  )}^{2}

Expanding the expression using ( a + b )²

=> { (\dfrac{x}{2}) }^{2}   + {( \dfrac{3y}{2}) }^{2}  - 2 \times  \dfrac{x}{2}  \times   \dfrac{3y}{2}

  =  >  \dfrac{ {x}^{2} }{4}  +  \dfrac{9 {y}^{2} }{4}  - 2 \times  \dfrac{x}{2}  \times  \dfrac{3y}{2}

 =  >  \dfrac{ {x}^{2} }{4}  +  \dfrac{9 {y}^{2} }{4}  -   \dfrac{3xy}{2}

Above is the required expansion

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