Bài 1:
a: \(x^2+xy+x+y\)
=x(x+y)+(x+y)
=(x+y)(x+1)
b: \(x^4+2x^3+x^2-64\)
\(=\left(x^2+x\right)^2-64\)
\(=\left(x^2+x-8\right)\left(x^2+x+8\right)\)
c: \(6xy-3x^2-3y^2+48\)
\(=3\left(16-x^2+2xy-y^2\right)\)
\(=3\left\lbrack4^2-\left(x-y\right)^2\right\rbrack\)
=3(4-x+y)(4+x-y)
d: \(2z-2t-z^2+2zt-t^2\)
\(=2\left(z-t\right)-\left(z-t\right)^2\)
=(z-t)(2-z+t)
Bài 2:
\(2\left(2+5m\right)^2-8\)
\(=2\left\lbrack\left(5m+2\right)^2-4\right\rbrack\)
\(=2\cdot\left(5m+2-2\right)\left(5m+2+2\right)=2\cdot5m\left(5m+4\right)=10m\left(5m+4\right)\) ⋮10
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