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lcyaire
04.03.2020 •
Mathematics
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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Ответ:
Option C:
is the correct answer.
Explanation:
The given expression is![35 g^{2}-2 g h-24 h^{2}](/tpl/images/0533/6462/59e20.png)
We need to determine the factor of the expression.
Now, let us break the given expression into two groups.
Hence, we get,
Simplifying, we get,
Let us factor out 7g from the term![\left(35 g^{2}+28 g h\right)](/tpl/images/0533/6462/a33d9.png)
Hence, we have,
Similarly, let us factor out -6h from the term![\left(-30 g h-24 h^{2}\right)](/tpl/images/0533/6462/e9fea.png)
Thus, we have,
Now, we shall factor out the term
, we get,
Thus, the factorization of the given expression is![(7 g-6 h)(5 g+4 h)](/tpl/images/0533/6462/59f25.png)
Therefore, Option C is the correct answer.
Ответ: