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प्रश्न
Factorise the following:
ab + bc + ad + cd
योग
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उत्तर
Given expression: ab + bc + ad + cd
Step-wise calculation:
1. Group terms to factor by common factors:
(ab + ad) + (bc + cd)
2. Factor out common factors in each group:
a(b + d) + c(b + d)
3. Notice the common binomial factor:
(b + d)(a + c)
Thus, the factorised form of the expression is (a + c)(b + d).
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