Math, asked by nathabhi133, 1 day ago

(x/2-y/3)² polynomials rd sharma ​

Answers

Answered by UniqueBoyyy
4

Given Expression

 \bigg( \sf \dfrac{x}{2}  -  \dfrac{y}{3}   \bigg){}^{2}

Can Be Written As,

\bigg( \sf \dfrac{x}{2}  -  \dfrac{y}{3}   \bigg){}^{ {}^{2} }

Now,Proceed With The Calculation,

 \sf{ \bigg( \:{  \dfrac{x}{2} } \bigg)^{2}  - 2. \dfrac{x}{2} ...\dfrac{y}{3} +  \bigg({  \dfrac{y}{3} } \bigg)^{2}   }

 \sf \dfrac{ {x}^{2} }{4} -  \dfrac{xy}{3}   +  \bigg( {\dfrac{y }{9} } \bigg)^{2}

Hence,

\bigg( \sf \dfrac{x}{2}  -  \dfrac{y}{3}   \bigg){}^{ {}^{2}  } =  \dfrac{ {x}^{2} }{4} -  \dfrac{xy}{3}   +  \bigg( {\dfrac{y }{9} } \bigg)^{2}

So The Answer is,

 \red \bigstar{ \boxed {\underline{\bigg( \sf \dfrac{x}{2}  -  \dfrac{y}{3}   \bigg){}^{ {}^{2}  } =  \dfrac{ {x}^{2} }{4} -  \dfrac{xy}{3}   + \bigg( {\dfrac{y }{9} } \bigg)^{2}}}}

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