Math, asked by arulselvi14, 4 months ago

Answer the above one pls​

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Answers

Answered by RaJRoYMaLLiK
1

Answer:

x^2-y^2+y^2-z^2+z^2-x^2=0

Step-by-step explanation:

because we know that (a-b)(a+b)=a^2-b^2

please bro mark me as brainliest

Answered by LilBabe
81

Question

  \boxed{ \bf\: (x - y)(x + y) + (y - 2)(y + 2) + (2 - x)(2 + x)}

Evaluate.

Answer

 \bf\: (x - y)(x + y) + (y - 2)(y + 2) + (2 - x)(2 + x)

\bf\mapsto(x {}^{2}  - y {}^{2} )+ (y  {}^{2} - 2 {}^{2} )+ (2 {}^{2}  - x {}^{2} )

 \bf\mapsto \: x {}^{2}  - y {}^{2} + y  {}^{2} - 2 {}^{2} + 2 {}^{2}  - x {}^{2}

 \bf\mapsto \:  \cancel {x {}^{2} } - y {}^{2} + y  {}^{2} - 2 {}^{2} + 2 {}^{2}   \cancel{- x {}^{2} }

 \bf\mapsto \:  \cancel{- y {}^{2} }+  \cancel{y  {}^{2} }- 2 {}^{2} + 2 {}^{2}

 \bf\mapsto \: \cancel{- 2 {}^{2} }+  \cancel{2 {}^{2}}

 \bf\mapsto \: 0

  \small\rm \: formula \: used =  \boxed{ \tt \: (a - b)(a + b) = a {}^{2}  - b {}^{2} }

Basic formulas

  \boxed{\tt  { \color{navy} (a + b) {}^{2}  = a {}^{2}  + 2ab + b {}^{2} }}

 \boxed{\tt  { \color{purple} (a  -  b) {}^{2}  = a {}^{2}   -  2ab + b {}^{2} }}

 \boxed{ \tt { \color{violet}(a - b)(a + b) = a {}^{2}  - b {}^{2} }}

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