Factoring terms by regrouping (two or more) means that you need to rearrange the terms with common factors before factoring. In case of regrouping the terms of the given algebraic 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.
Solved examples on factoring terms by regrouping:
1. Factorize the expression:
(i) a^{2}x + abx + ac + aby + b^{2}y + bc2. How to factorize by grouping the following expressions?
(i) ax – bx + by + cy – cx – ay
Solution:
ax – bx + by + cy – cx – ay
By suitably rearranging
the terms, we have;
= ax - bx – cx – ay + by + cy
= x(a – b – c) - y(a – b – c)
(a – b – c) (x - y)
8th Grade Math Practice
From Factoring Terms by Regrouping to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Sep 13, 24 02:48 AM
Sep 13, 24 02:23 AM
Sep 13, 24 01:20 AM
Sep 12, 24 03:07 PM
Sep 12, 24 02:09 AM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.