find'a' if 96a=88^2-56^2

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Solution

Dear student,
$96 a = 88^{2} - 56^{2} \Rightarrow 96 a = (88 + 56) (88 - 56) {u \sin g t h e i d e n t i t y a^{2} - b^{2} = (a - b) (a + b)} \Rightarrow 96 a = 144 \times 32 \Rightarrow a = \frac{144 \times 32}{96} = 48$
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