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= x^2 - 7xy + 10y^2
= x^2 - 2xy -5xy + 10y^2
= x( x - 2y ) - 5y( x - 2y )
= ( x - 2y )( x - 5y )
\(a,x^2\left(x-2\right)-4x+8\\ =\left(x^2-4\right)\left(x-2\right)\\ =\left(x-2\right)^2\left(x+2\right)\\ b,x^2+7xy+10y^2\\ =x^2+2xy+5xy+10y^2\\ =x\left(x+2y\right)+5y\left(x+2y\right)\\ =\left(x+5y\right)\left(x+2y\right)\)
x^2 - 7xy + 10y^2
= (x^2 - 2xy) - (5xy - 10y^2)
= x(x - 2y) - 5y( x - 2y)
= (x - 5y)(x - 2y)
a) \(x^2+6x+8\)
\(=\left(x^2-2x\right)-4x+8\)
\(=x\left(x-2\right)-4\left(x-2\right)\)
\(\left(x-2\right)\left(x-4\right)\)
b) \(x^2-7xy+10y^2\)
\(=x^2-2xy-5xy+10y^2\)
\(=x\left(x-2y\right)-5y\left(x-2y\right)\)
\(=\left(x-2y\right)\left(x-5y\right)\)
a) x2 - 6x + 8
= x2 -2x - 4x +8
= x( x-2) -4( x-2)
= ( x-2)(x-4)
x2 - 7xy + 10y2
= x2 - 2xy - 5xy + 10y2
= ( x2 - 2xy ) - (5xy - 10y2 )
= x ( x - 2y ) - 5y ( x-2y)
= ( x-2y ) ( x-5y )
\(x^2-xy-10x+10y\)
\(=x\left(x-y\right)-10\left(x-y\right)\)
\(=\left(x-y\right)\left(x-10\right)\)
$=x^2-2xy-5xy+10y^2\\=x(x-2y)-5y(x-2y)\\=(x-5y)(x-2y)$