Question

verify that (x×y)-1=x-1×y-1 when x=-2/3 and y=-3/5​

Answer 1

Answer:

(X*Y)-1

Step-by-step explanation:

(X*Y)-1 = X-1 * Y-1

= -2/3 -1 * -3/5 -1

= -2 -3/3 * -3 -5/5

= -5/3 * -8/5

= -25 - 24/15

= -29/15

I hope X value is positive Because the answer is 1/15 thats right answer.

= 25 -24/15

= 1/15.ans.

I hope My answer Is Helpful for u

Answer 2

$\bf\huge{\underline{\orange{Question↴}}}$

Verify that (xy) - 1 = x - 1 × y - 1, where

x = $\bf\dfrac{-2}{3}$ & y = $\bf\dfrac{-3}{5}$

$\bf\huge{\underline{\orange{Answer↴}}}$

$\bf{\bold{\orange{Substitute ~the~given~values, }}}$

➥ 1 ( $\bf\dfrac{-2}{3}$ × $\bf\dfrac{-3}{5}$) = $\bf\dfrac{-2}{3}$ - 1 × $\bf\dfrac{-3}{5}$ - 1.

$\bf{\bold{\orange{Cancellation, }}}$

➥ ( - $\sf\dfrac{2}{\cancel{3}}$ × - $\sf\dfrac{\cancel{3}}{5}$) - 1 = - $\sf\dfrac{2}{\cancel{3}}$ - 1 × - $\sf\dfrac{\cancel{3}}{5}$ - 1

➥ - $\bf\dfrac{2}{5}$ - 1 = - $\bf\dfrac{2}{5}$ - 1

$\bf{\bold{\orange{By~ the~ cancellation~ of~ (-)~ and~ (-1),}}}$

$\bf{\bold{\orange{We ~get ↷}}}$

⟿ $\bf\dfrac{2}{5}$ = $\bf\dfrac{2}{5}$

$\bf{\bold{\orange{Hence~proved! }}}$