Regrouping is very similar to Common Method the only difference in Regrouping Method is, in it we deal with two or more groups of algebraic expressions but we take out the common of the individual group but the only condition is its factor should be same .
Example 1:
Factorise the expression: 8x+y+x+8y
Step 1: write each term in the the form of the product of their irreducible factors
8x=2×2×2×x
Y=1
X=1
8y=2×2×2×y
Two terms have same common which is 1 and another two terms have same common which is 2×2×2=8 . So, we can arrange it such that 8x+8y+x+y through which we can easily take out common (8x+8y)+(x+y)
Step 2: Take out common from the group.
8x+8y+x+y= 8(x+y)+1(x+y)
You can observe ae per our condition both the brackets should having same term which is ( x+y)
.
Step 3: Take another common from the expression
In 8(x+y)+1(x+y)
(X+y) is common then we take out as we done in previous step then,( x+y)(8+1) now it is in the form of product of thier factor hence, it is factorised .
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