Factorize ( a2 + 4b2+ 4b - 4ab - 2a-8)
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Hi ,
a² + 4b² + 4b - 4ab - 2a - 8
= ( a² - 4ab + 4b² ) + 4b - 2a - 8
= [a² -2 × a × 2b + ( 2b )²] - 2(a - 2b) - 8
= ( a - 2b )² - 2( a - 2b ) - 8
= ( a - 2b)² - 4( a - 2b) + 2( a - 2b ) - 8
= ( a - 2b ) [ a - 2b - 4 ] + 2 [ a - 2b - 4 ]
= [ a - 2b - 4 ] ( a - 2b + 2 )
I hope this helps you.
: )
a² + 4b² + 4b - 4ab - 2a - 8
= ( a² - 4ab + 4b² ) + 4b - 2a - 8
= [a² -2 × a × 2b + ( 2b )²] - 2(a - 2b) - 8
= ( a - 2b )² - 2( a - 2b ) - 8
= ( a - 2b)² - 4( a - 2b) + 2( a - 2b ) - 8
= ( a - 2b ) [ a - 2b - 4 ] + 2 [ a - 2b - 4 ]
= [ a - 2b - 4 ] ( a - 2b + 2 )
I hope this helps you.
: )
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