Topic Content:
- Complete Factorization
To factorize an expression completely, take the H.C.F outside the bracket and then divide each term with the H.C.F.
Worked Example 5.2.1:
Find the H.C.F of the following and then factorize:
a. 6x and 3y
b. 10xy and 20xy2
c. 12y + 8y2
d. 36ab + 12ab2
e. 12p2 q – 9pq
Solution
a. 6x and 3y
\( \scriptsize 6x = 2 \: \times \: 3 \: \times \: x \) \( \scriptsize 3y = 3 \: \times \: y \)H.C.F = 3
Take the H.C.F outside the bracket and then divide each term with the HCF
∴ \(\normalsize \frac{6x}{3} \scriptsize =2x \: and \: \normalsize \frac{3y}{3} \scriptsize = y \)
6x and 3y = 3(2x and y)
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Well simplified and explanatory. Thank you