16x⁴ – 2x²y² + y⁴, Factorise the expression.
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hey there!
( 4x² + y² ) - 10x²y²
Hope my answer helps!
TeenTitansGo:
you have factorise it ....not simplify
or if you simplify,it will be ( 4x + y )² - 10xy
10x²y²*
( 4x² + y²)*
Answered by
3
Solution :
16x⁴ - 2x²y² + y⁴
= ( 4x² )² + ( y² )² - 2x²y²
= ( 4x² )² + ( y² )² + 8x²y² -8x²y²-2x²y²
= ( 4x² + y² )² - 10x²y²
= ( 4x² + y² )² - ( √10 xy )²
= (4x²+y²+ √10 xy )(4x²+y² - √10 xy )
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