How do you factorise 4xy plus 6xz?

Answer 1

4xy + 6xz

When factorising algebraic expressions treat them just as ordinary numbers. Ascertain what the common factors are.

The factors of 4xy are 2 x 2 x 'x' x y

The factors of 6xz are 2 x 3 x 'x' x z

The factors common to both expressions are 2 and 'x'. Therefore,

4xy + 6xz = 2x(2y + 3z)