\(x^2+5x-6=x^2-x+6x-6=x\left(x-1\right)+6\left(x-1\right)=\left(x+6\right)\left(x-1\right)\)
\(5x^2+5xy-x-y=5x\left(x+y\right)-\left(x+y\right)=\left(5x-1\right)\left(x+y\right)\)
\(7x-6x^2-2=3x-6x^2+4x-2=3x\left(1-2x\right)-2\left(1-2x\right)=\left(3x-2\right)\left(1-2x\right)\)
\(a,x^2+5x-6=x^2-x+6x-6\)
\(=x\left(x-1\right)+6\left(x-1\right)=\left(x-1\right)\left(x+6\right)\)
\(b,5x^2+5xy-x-y=5x\left(x+y\right)-\left(x+y\right)\)
\(=\left(x+y\right)\left(5x-1\right)\)
\(c,7x-6x^2-2=-6x^2+3x+4x-2\)
\(=-3x\left(2x-1\right)+2\left(2x-1\right)=\left(2x-1\right)\left(2-3x\right)\)
1) x2 + 5x - 6
= (x2 - x) + (6x - 6)
= x(x - 1) + 6(x - 1)
= (x - 1)(x + 6)
2) 5x2 + 5xy - x - y
= (5x2 + 5xy) + (-x - y)
= -(x + y) + 5x(x + y)
= (x + y)(5x - 1)
3) 7x - 6x2 - 2
= -(6x2 - 7x + 2)
= -(2x - 1)(3x - 2)
a) \(x^2+5x-6=\left(x+2,5\right)^2-0,5^2=\left(x+2,5+0,5\right)\left(x+2,5-0,5\right)\)
\(=\left(x+3\right)\left(x+2\right)\)
b) \(5x^2+5xy-x-y\)
\(=5x\left(x+y\right)-\left(x+y\right)=\left(5x-1\right)\left(x+y\right)\)
