Question

Answer 1

a,\(x-y+5x-5y=6\left(x-y\right)\)

 

Answer 2

b,\(x^3-4x^2+8x-8=\left(x-2\right)\left(x^2-2x+4\right)\)

Answer 3

c,\(5x^2-6xy+y^2=5x^2-5xy-xy+y^2\)

                             \(=\left(5x-y\right)\left(x-y\right)\)

Answer 4

\(a.x-y+5x-5y=x-y+5\left(x-y\right)=6\left(x-y\right)\\ b.x^3-4x^2+8x-8=\left(x-2\right)^3\\ c.5x^2-6xy+y^2=9x^2-6xy+y^2-4x^2=\left(3x-y\right)^2-4x^2=\left(5x-y\right)\left(x-y\right)\)

Answer 5

a) \(x-y+5x-5y\)

\(=\left(x-y\right)+5\left(x-y\right)\)

\(=6\left(x-y\right)\)

b) \(x^3-4x^2+8x-8\)

\(=\left(x-2\right)\left(x^2+2x+4\right)-4x\left(x-2\right)\)

\(=\left(x-2\right)\left(x^2+2x+4-4x\right)\)

\(=\left(x-2\right)\left(x^2-2x+4\right)\)

c) \(5x^2-6xy+y^2\)

\(=5x^2-5xy-xy+y^2\)

\(=5x\left(x-y\right)-y\left(x-y\right)\)

\(=\left(x-y\right)\left(5x-y\right)\)