a) \(x^2+5x-6\)
\(=x^2-x+6x-6\)
\(=\left(x^2-x\right)+\left(6x-6\right)\)
\(=x\left(x-1\right)-6\left(x-1\right)\)
\(=\left(x-1\right)\left(x-6\right)\)
b) \(a^2+4a+3\)
\(=a^2+a+3a+3\)
\(=\left(a^2+a\right)+\left(3a+3\right)\)
\(=a\left(a+1\right)+3\left(a+1\right)\)
\(=\left(a+1\right)\left(a+3\right)\)
c) \(16y-5y^2-3\)
\(=-5y^2+y+15y-3\)
\(=\left(-5y^2+y\right)+\left(15y-3\right)\)
\(=-y\left(5y-1\right)+3\left(5y-1\right)\)
\(=\left(5y-1\right)\left(3-y\right)\)
a: \(x^2+5x-6\)
\(=x^2+6x-x-6\)
\(=x\left(x+6\right)-\left(x+6\right)\)
\(=\left(x+6\right)\left(x-1\right)\)
b: \(a^2+4a+3\)
\(=a^2+a+3a+3\)
\(=a\left(a+1\right)+3\left(a+1\right)\)
\(=\left(a+1\right)\left(a+3\right)\)
c: \(16y-5y^2-3\)
\(=-5y^2+15y+y-3\)
\(=-5y\cdot\left(y-3\right)+\left(y-3\right)\)
\(=\left(y-3\right)\left(-5y+1\right)\)
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