factorise 25(2x-y)^2 -16(x-2y)^2
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Answer:
3 ( 2x + y ) ( 14x - 13y )
Hope this helps you.
Step-by-step explanation:
25 ( 2x - y )² - 16 ( x - 2y )²
= [ 5 ( 2x - y ) ]² - [ 4 ( x - 2y ) ]²
= [ 5 ( 2x - y ) - 4 ( x - 2y ) ] [ 5 ( 2x - y ) + 4 ( x - 2y ) ]
= [ 10x - 5y - 4x + 8y ] [ 10x - 5y + 4x - 8y ]
= ( 6x + 3y ) ( 14x - 13y )
= 3 ( 2x + y ) ( 14x - 13y )
Anonymous:
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