Question

14. Solve: m² - (m + 2)(m - 2) = m/2 + 3/2.​

Answer 1

$\huge\mathcal\colorbox{lime}{{\color{black}{ᴀɴSᴡᴇʀ}}}$

$\bf {m}^{2} - (m + 2)(m - 2) = \frac{m}{2} + \frac{3}{2} \\ \\ \bf {m}^{2} - ({m}^{2} - {2}^{2}) = \frac{m + 3}{2} \\ \\ \bf {m}^{2} - {m}^{2} + 4 = \frac{m + 3}{2} \\ \bf 4 = \frac{m + 3}{2} \\ \\ \bf \frac{m + 3}{2} = 4 \\ \\ \bf m + 3 = 2(4) = 8 \\ \bf m = 8 - 3 = \underline{ \underline{5}}$

$\huge\sf\color{lime}{ʜᴏᴘᴇ~ɪᴛ~ʜᴇʟᴘs..!!}$

Answer 2

$\huge\tt\colorbox{plum}{Solution}$

Formula used:

(a + b) (a - b) = a² - b²

${m}^{2} - (m + 2)(m - 2) = \frac{m}{2} + \frac{3}{2} \\ \\ {m}^{2} - ( {m}^{2} - {2}^{2} ) = \frac{m + 3}{2} \\ \\ {m}^{2} - {m}^{2} + 4 = \frac{m + 3}{2} \\ \\ 0 + 4 = \frac{m + 3}{2} \\ \\ 4 = \frac{m + 3}{2} \\ \\ 4 \times 2 = m + 3 \\ \\ 8 = m + 3 \\ \\ m = 8 - 3 \\ \\ m = 5$