Question

Answer 1

a) `5xy-10=5(xy-2)`

b) `x^2-36=x^2-6^2=(x-6)(x+6)`

c) `x^3-x^2 y+4x-4y=x^2(x-y)+4(x-y)=(x^2+4)(x-y)`

d) `x^2+12y-y^2-36=x^2-(y-6)^2=(x-y+6)(x+y-6)`

Answer 2

a) \(5xy-10=5\left(xy-2\right)\)
b) \(x^2-36=x^2-6^2=\left(x-6\right)\left(x+6\right)\)
c) \(x^3-x^2y+4x-4y=4x+x^3-4y-x^2y=x\left(4+x^2\right)-y\left(4+x^2\right)=\left(x-y\right)\left(4+x^2\right)\)
d) \(x^2+12y-y^2-36=x^2-\left(y^2-12y+6^2\right)=x^2-\left(y-6\right)^2=\left(x-y+6\right)\left(x+y-6\right)\)
-ht ;3-