Question

18. 4 - 16 (a - b)^2
$4 - 16(a - b) {}^{2}$
please solve
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Answer 1

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4 - 16( a - b )²

Take out 4 as the Comman Factor :-

= 4 [ 1 - 4( a - b )²

Make the 2 Numbers Perfect Square :-

= 4 [ 1² - [ 2( a - b )]² ]

Apply a² - b² = ( a + b )( a - b ) :-

= 4( 1 - 2( a - b ) )( 1 + 2( a - b ) )

Simplify :-

= 4( 1 - 2a + 2b )( 1 + 2a - 2b )

So, the Answer is

4( 1 - 2a + 2b )( 1 + 2a - 2b )