factorise 81x^4-256y^4
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Answered by
28
Answer:
( 9 x² + 16 y² )( 3 x + 4 y )( 3 x - 4 y )
Step-by-step explanation:
81 x⁴ - 256 y⁴
==> ( 9 x² )² - ( 16 y² )² [ Using a² - b² = ( a + b )( a - b ) ]
==> ( 9 x² + 16 y² )( 9 x² - 16 y² )
==> ( 9 x² + 16 y² ) [ ( 3 x )² - ( 4 y )² ]
==> ( 9 x² + 16 y² )( 3 x + 4 y )( 3 x - 4 y )
[ Using a² - b² = ( a + b )( a - b ) ]
==> ( 9 x² + 16 y² )( 3 x + 4 y )( 3 x - 4 y )
Hope it helps ya:)
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Sahana123:
its correct ...i tried it but was having doubt
Answered by
13
Hi.
Hope it helps.
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