Factor the expression. 35g^2 – 2gh – 24h^2 (7g + 6)(5g + 4h2) (7g + 6h)(5g – 4h) (7g – 6h)(5g + 4h

Question

Factor the expression. 35g^2 – 2gh – 24h^2

(7g + 6)(5g + 4h2)

(7g + 6h)(5g – 4h)

(7g – 6h)(5g + 4h)

(7g – 6)(5g + 4)

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Hadley 1 month 2021-10-21T01:44:14+00:00 1 Answer 0 views 0

Answers ( )

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    2021-10-21T01:45:48+00:00

    Option C: (7 g-6 h)(5 g+4 h) is the correct answer.

    Explanation:

    The given expression is 35 g^{2}-2 g h-24 h^{2}

    We need to determine the factor of the expression.

    Now, let us break the given expression into two groups.

    Hence, we get,

    35 g^{2}+28 g h-30 g h-24 h^{2}

    Simplifying, we get,

    \left(35 g^{2}+28 g h\right)+\left(-30 g h-24 h^{2}\right)

    Let us factor out 7g from the term \left(35 g^{2}+28 g h\right)

    Hence, we have,

    7 g(5 g+4 h)+\left(-30 g h-24 h^{2}\right)

    Similarly, let us factor out -6h from the term \left(-30 g h-24 h^{2}\right)

    Thus, we have,

    7 g(5 g+4 h)-6 h(5 g+4 h)

    Now, we shall factor out the term 5g+4h , we get,

    (7 g-6 h)(5 g+4 h)

    Thus, the factorization of the given expression is (7 g-6 h)(5 g+4 h)

    Therefore, Option C is the correct answer.

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45:7+7-4:2-5:5*4+35:2 =? ( )