ac+ad+bc+bd type expressions
2. ac+ad+bc+bd type expressions
In such types of algebraic sentences one factor is common with two terms and another factor is common with other two similar terms i-e ‘a’ is common with first two terms and ‘b’ is common with last two similar terms. When these common factors are separated we get two algebraic expressions factoring.
If we put this in two bracket, we get;
Now within brackets'’ we see that (c+d) is common. Take this out and we get;
So, given expression has been splited into two algebraic factors (c+d) and (a+b). if we multiply these two factors together , the product will be the original given expression.
Example: Factorize 3x-3a+xy-ay
Here we notice that ‘3’ is common with first two terms and ‘y’ is common with last two terms,
Now within brackets ‘’ (x-a) is common which we take out;
So we done factorization getting (x-a) and (3+y) two factors. If we multiply these two together we will get the original given expression.