Question

Can someone please answer the 1st and 2nd question

Answer 1

SOLUTION:-

Factorise: 2x² -5/6x +1/12.

$2 {x}^{2} - \frac{5}{6} x + \frac{1}{12} \\ \\ = > {2x}^{2} - \frac{x}{2} - \frac{x}{3} + \frac{1}{12} \\ \\ = > x(2x - \frac{1}{2} ) - \frac{1}{6} (2x - \frac{1}{2} ) \\ \\ = > (2x - \frac{1}{2} )(x - \frac{1}{6} )$

And,

$( \frac{32}{243} ) {}^{ - \frac{3}{5} } \\ \\ We \: can \: write \: as; \\ = > ( \frac{2 {}^{5} }{3 {}^{5} } ) {}^{} {}^{ - \frac{3}{5} } \\ \\ = > [(\frac{2}{3} ) {}^{5} ]{}^{ - \frac{3}{5} } \\ \\ = > (\frac{2}{3} ) {}^{ - 3} \\ \\ = > \frac{ - 2 \times - 2 \times - 2}{ - 3 \times - 3 \times - 3} \\ \\ = > \frac{ - 8}{ - 27} \\ \\ = > \frac{8}{27}$

Hope it helps ☺️