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)

d. is the correct answer

step-by-step explanation: