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Bj
Mathematics
13 September, 14:57
Factorise 5ab + 6ca + 7da
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Monkey
13 September, 15:07
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The factorization of 5ab + 6ca + 7da is a (5b + 6c + 7d)
Step-by-step explanation:
Factorization is taking the greatest common factors from some terms added or subtracting together
Ex: The factorization of 3x²y - 6xy² is 3xy (x - 2y) because 3xy is the greatest common factors of the terms 3x²y and 6xy²
Now let us solve the question
∵ The expression is 5ab + 6ca + 7da
- The coefficients 5, 6 and 7 have not any common factor
∴ There is no numerical common factor
∵ a is in the three terms of the expression
∴ The common factor of 5ab, 6ca, 7da is a
Divide each term by a to find the terms of the bracket
∵ 5ab : a = 5b
∵ 6ca : a = 6c
∵ 7da : a = 7d
∴ 5ab + 6ca + 7da = a (5b + 6c + 7d)
The factorization of 5ab + 6ca + 7da is a (5b + 6c + 7d)
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