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13 September, 14:57

Factorise 5ab + 6ca + 7da

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  1. 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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