Question

Divide after factorisation: 4-a2/ 2-a

Answer 1

Answer:

${\bf{\large{\red{\tt{FACTORISATION:}}}}}$

$\frac{4 - {a}^{2} }{2 - a} \\ \\ using \: \: identity \\ \ {a}^{2} - {b}^{2} = (a - b)(a + b) \\ \\ \frac{ {2}^{2} - {a}^{2} }{2 - a} \\ \\ = \frac{(2 - a)(2 + a)}{2 - a} \\ \\ on \: \: \: cancelling \\ (2 - a) \: from \\ numerator \: \: and \\ denominator \: ... \\ \\ = 2 + a \\ \\ = > 2 + a = 0 \\ = > a \: = - 2$