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)

Answer 1

Option C is the correct answer.

Step-by-step explanation:

Answer 2

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

Step-by-step 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.