a, \(a^2+4ab+3b^2-2b-1=\left(a^2+4ab+4b^2\right)-\left(b^2+2b+1\right)=\left(a+2b\right)^2-\left(b+1\right)^2\)
\(=\left(a+2b-b-1\right)\left(a+2b+b+1\right)=\left(a+b-1\right)\left(a+3b+1\right)\)
b,\(a^2-2ab-2b-1=\left(a^2-2ab+b^2\right)-\left(b^2+2b+1\right)\)
\(=\left(a-b\right)^2-\left(b+1\right)^2\)
\(=\left(a-b-b-1\right)\left(a-b+b+1\right)\)
\(=\left(a-2b-1\right)\left(a+1\right)\)
TK MINK NHA!
a2 - 2ab - 2b - 1
= a2 - 2ab + b2 - b2 - 2b - 1
=( a - b )2 - ( b - 1 )2
= ( a - b - b + 1 ) ( a - b + b - 1 )
= ( a - 2b + 1 ) ( a - 1 )
a2 + 4ab + 3b2 - 2b - 1
= a2 + 4ab + 4b2 - b2 - 2b - 1
= ( a + 2b )2 - ( b - 1 ) 2
= ( a + 2b - b + 1 ) ( a + 2b + b -1 )
= ( a + b -1 ) ( a + 3b - 1)
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