Factorise 5ab + 6ca + 7da

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)