Question

Add the following (a^2+b^2) /4 + c^2/8​

Answer 1

Question

Add the following:-

$\frac{( {a}^{2} + {b}^{2} )}{4} + \frac{ {c}^{2} }{8}$

Solution

$= \frac{( {a}^{2} + {b}^{2} )}{4} + \frac{ {c}^{2} }{8} \\ = \frac{8( {a}^{2} + {b)}^{2} + 4 {(c}^{2}) }{4 \times 8} \\ = \frac{4(2 {a}^{2} + {2b}^{2} + 4 {c}^{2}) }{4 \times 8} \\ = \frac{2( {a}^{2} + {b}^{2} + 2 {c}^{2} )}{2 \times 4} \\ = \frac{{a}^{2} + {b}^{2} + {2c}^{2} }{4}$

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Hence, shown.

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