Question

rearranging the expression to form a leading to factorization ​

Answer 1

Answer:

In factorization by regrouping sometimes the terms of the given expression need to be arranged in suitable groups in such a way that all the groups have a common factor. After this arrangement factorization becomes easy.

Method of factoring terms:

Step 1: Arrange the terms of the given expression in groups in such a way that all the groups have a common factor.

Step 2: Factorize each group.

Step 3: Take out the factor which is common to each group.

Step-by-step explanation:

How to factorize the following expressions?

(i) a2 + bc + ab + ac

Solution:

The expression is a2 + bc + ab + ac

By suitably rearranging the terms, we have;

= a2 + ab + ac + bc

= a(a + b) + c(a + b)

= (a + b) (a + c).

(ii) ax2 + by2 + bx2 + ay2

Solution:

The expression is ax2 + by2 + bx2 + ay2

By suitably rearranging the terms, we have;

= ax2 + ay2 + bx2 + by2

= a(x2 + y2) + b(x2 + y2)

= (x2 + y2) (a + b)...

please once read all the things that i have written first i have explained you that how to rearrange and then I have also giving you some example to do it by step by step explanation...

thankuhh(•‿•) hope these helps..