Math, asked by sonusunny37463, 3 months ago

(a/4-b/2+1)^2 expand with suitable identities​

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Answered by anitavasava31
0

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Answered by SanskariBalakk
9

 \sf \: As we know, \\  \\\rm(a+b+c)²=a²+b²+c²+2ab+2bc+2ca \\  \rm \: So, \\  \rm \: Here : \\ \rm a=\dfrac{a}{4} ,\rm b = \dfrac{b}{2} ,\rm c=\dfrac{1}{1}

\sf Now \:  putting \:  values,\\ \\  \rm\dfrac{a {}^{2} }{4 {}^{2} }   + \rm{  \dfrac{b {}^{2} }{2 {}^{2} }   +  \rm \dfrac{1}{1} - 2×\dfrac{a}{4}×\dfrac{-b}{2} - 2×\dfrac{-b}{2} + 2 \times 1 + 1×\dfrac{a}{4}}

Cancelling,

We get,

 \sf =  \rm{ \dfrac{a {}^{2} }{16} +  \dfrac{b {}^{2} }{4}    + 1 -  \dfrac{ab}{4}  - b +  \dfrac{a}{2} }

{ \underline {\rule{300pt}{3pt}}}

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