Question

subtract X'3-x'2y'2+y'3 from X'4 - X'2y'2 +y'4​

Answer 1

Answer:

(x+y)

Step-by-step explanation:

because

$( {x}^{4} - {x}^{2} {y }^{2} + {y}^{4} ) - ( {x}^{3} - {x}^{2} {y}^{2} + {y}^{3} ) \\ (x + y)$

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Answer 2

$\bf {x}^{4} - {x}^{2} {y}^{2} + {y}^{4} - ( {x}^{3} - {x}^{2} {y}^{2} + {y}^{3} ) \\ \\ \bf {x}^{4} \cancel{ - {x}^{2} {y}^{2}} + {y}^{4} - {x}^{3} \cancel{+ {x}^{2} {y}^{2} } - {y}^{3} \\ \\ \bf {x}^{4} - {x}^{3} + {y}^{4} - {y}^{3} \\ \\ \large\underline{ \boxed{ \orange{ \bf x + y}}}$