Question

Answer 1

a) \(7\left(3x-2\right)+y\left(3x-2\right)=\left(3x-2\right)\left(y+7\right)\)

b) \(x\left(y-x\right)-3\left(x-y\right)=-x\left(x-y\right)-3\left(x-y\right)=-\left(x-y\right)\left(x+3\right)\)

c) \(x^2-6xy+9y^2=x^2-2.x.\left(3y\right)+\left(3y\right)^2=\left(x-3y\right)^2\)

Answer 2

1: \(=\left(3x-2\right)\left(y+7\right)\)

2: \(=-x\left(x-y\right)-3\left(x-y\right)\)

\(=\left(x-y\right)\left(-x-3\right)\)

3: \(=\left(x-3y\right)^2\)