Question

➢Question:​

$4^{2} - (x^{2} + y^{2} )$
➢Don't slam my question I will report:​​

Answer 1

Given Expression :-

${ \sf { 4² - ( x² + y² ) }}$

Solution :-

The given Expression is 4² - (x² + y²), At first open the brackets & change the sign of the variables ;

Here are 2 solutions to this expression which are given below ;

${ \underline { \underline { \large { \mathfrak \blue { 1st \:\: Solution :- }}}}}$

${ : \implies \quad { \sf 4² - x² - y² }}$

${ : \implies \quad { \sf ( 4² - x² ) - y² }}$

We knows an algebraic identity i.e ;

$\quad \qquad { \bigstar { \underline { \boxed { \red { \bf { a² - b² = ( a + b )( a - b ) }}}}}}{\bigstar}$

Using this we have ;

${ : \implies \quad { \bf ( 4 - x ) ( 4 + x ) - y² }}$

${ \underline { \underline { \large { \mathfrak \green { 2nd \:\: Solution :- }}}}}$

Consider 4² - ( x² + y² )

${ : \implies \quad { \sf 4² - x² - y² }}$

${ : \implies \quad { \sf ( 4² - y² ) - x² }}$

Using the same identity used above we have ;

${ : \implies \quad { \bf ( 4 - y ) ( 4 + y ) - x² }}$

Done (:

Note :- If the given Expression were be in the form of a equation , then it represents a circle . The graph of the Circle ( if given as Equation ) is attached ! I didn't solved this as a equation of circle because given as an expression not an equation (: