Question

5. The product of two numbers is
${x}^{4} - {y}^{4}$
If one of them is x - y, find the other number.​

Answer 1

Answer:

$\huge\underline{ \underline{ \purple{your \: \: answer}}}$

Step-by-step explanation:

$\sf\pink{let \: the \: other \: number \: = b} \\ \sf\red{(x - y)b = {x}^{4} - {y}^{4} } \\ \sf\green{ = > (x - y)b = {x}^{2 {}^{2} } - {y}^{ {2}^{2} } } \\ \sf\blue{ = > (x - y)b = ( {x}^{2} + {y}^{2} )( {x}^{2} - {y}^{2} )} \\ \sf\orange{ = > b = \frac{( {x}^{2} + {y}^{2} )( x+ y)( x- y)}{x - y} } \\ \sf\purple{ = > b = ( {x}^{2} + {y}^{2})(x + y)}\\\sf\blue{ other\:number\: is (X^2+y^2)(x+y)}\\ \large\boxed{ \fcolorbox{red}{lime}{hope \: it \: help \: you}}$