Question

If 2x-y = 5 then (2x -
(y +23 is equal to​

Answer 1

$\underline{\underline{\bf{\maltese\:\:Question}}}$

$\bullet\:\:\:\sf{If\:\: 2x -y = 5, then\:\: (2x - 3)^3 - (y + 2)^3\:\: is \:\:equal\:\: to}$

$\underline{\underline{\bf{\maltese\:\:Given}}}$

$\bullet\:\:\:\sf{2x\:-\:y=5}$

$\underline{\underline{\bf{\maltese\:\:To\:Find}}}$

$\bullet\:\:\:\sf{Value\:\:of\:\: (2x - 3)^3 - (y + 2)^3}$

$\underline{\underline{\bf{\maltese\:\:Answer}}}$

$\bigstar\:\:\:\sf{Value\:\:of\:\: (2x - 3)^3 - (y + 2)^3=0}$

$\underline{\underline{\bf{\maltese\:\:Calculations}}}$

$\sf{2x\:-\:y=5}$

$\Rightarrow\sf{2x\:-\:y = 3 \:+ \:2}$

$\bf{Adding\:\:y\:\:to\:\:both\:\:sides}$

$\Rightarrow\sf{2x\:-\:y\:+\:y = 3\: +\: 2\:+\:y}$

$\Rightarrow\sf{2x = 3\: +\: 2\:+\:y}$

$\bf{Subtracting\:\:3\:\:from\:\:both\:\:sides}$

$\Rightarrow\sf{2x \:-\:3 = 3\: +\: 2\:+\:y\:-\:3}$

$\Rightarrow\sf{2x \:-\:3 = 2\:+\:y}$

$\bf{Cubing\:\:on\:\:both\:\:sides}$

$\Rightarrow\sf{(2x \:-\:3)^3 = (2\:+\:y)^3}$

$\Rightarrow\sf{(2x \:-\:3)^3 = (y\:+\:2)^3}$

$\bf{Substitute\:\:the\:\:value\:\:of\:\:(2x - 3)^3\:\:in\:\:(2x - 3)^3 - (y + 2)^3}$

$\sf{(2x - 3)^3 - (y + 2)^3}$

$\Rightarrow\sf{(y+2)^3 - (y + 2)^3}$

$\Large\boxed{\Rightarrow\sf{0}}$

Answer 2

Hope this helps you mate