Question

X² +6x - 4y² +9

X^2- 7x+Xy-7y

Answer 1

a, \(x^2+6x-4y^2+9=\left(x+3\right)^2-4y^2\)

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

b, \(x^2-7x+xy-7y=x\left(x-7\right)+y\left(x-7\right)=\left(x+y\right)\left(x-7\right)\)

Answer 2

b)\(x^2-7x+xy-7y\)

\(=x^2+xy-7x-7y\)

\(=\left(x^2+xy\right)-\left(7x+7y\right)\)

\(=x\left(x+y\right)-7\left(x+y\right)\)

\(=\left(x+y\right)\left(x-7\right)\)