Math, asked by Bishnuppriaswain08, 6 months ago

simplify the following .........(x+2/x-3) (x-2/x-3)​

Answers

Answered by Anonymous
14

ANSWER

\large\underline\bold{GIVEN,}

\sf\dashrightarrow \bigg( \dfrac{x+2}{x-3} \bigg) \bigg( \dfrac{x-2}{x-3} \bigg)

\large\underline\bold{TO\:SIMPLIFY,}

\sf\therefore \bigg( \dfrac{x+2}{x-3} \bigg) \bigg( \dfrac{x-2}{x-3} \bigg)

\large\underline\bold{IDENTITY\:UN\:USE,}

\large{\boxed{\bf{ \star\:\:(a+b)(a-b)=a^2-b^2 \:\: \star}}}

\large{\boxed{\bf{ \star\:\: (a-b)=a^2+b^2-2ab\:\: \star}}}

\large\underline\bold{SOLUTION,}

\sf\implies \bigg( \dfrac{x+2}{x-3} \bigg) \bigg( \dfrac{x-2}{x-3} \bigg)

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

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

\sf\implies  \bigg( \dfrac{x^2-4}{x^2+9-6x} \bigg)

\large{\boxed{\bf{ \star\:\: \bigg( \dfrac{x^2-4}{x^2+9-6x} \bigg) \:\: \star}}}

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Answered by nikhilrajput78
0

Answer:

folow me i folow you plz

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