What is regrouping in factorisation ?
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Posted by Kashish Sharma 5 years ago
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Yogita Ingle 5 years ago
Factorization by regrouping terms:
Let we want to factorize x2 + xy + 8x + 8y
Since there is no common factor among all terms. So, we form groups.
We form two groups (x2 + xy) and (8x + 8y) and then factorize
x2 + xy = x * x + x * y
= x * (x + y)
8x + 8y = 8 * x + 8 * y
= 8 * (x + y)
Now, x2 + xy + 8x + 8y = x * (x + y) + 8 * (x + y)
= (x + y)(x + 8)
We can regroup the algebraic expressions in many ways.
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