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.
i-e
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
Solution:
Here we notice that ‘3’ is common with first two terms and ‘y’ is common with last two terms,
putting brackets;
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.