Question

Factor Completely 5v^2-5v-100

Answer 1

`5 {v }^(2) - 5v - 100 \\ = 5( {v}^(2) - v - 25) \\ = 5({v}^(2) + 4v - 5v - 20) \\ = 5[v(v + 4) - 5(v + 4)] \\ = 5(v - 5)(v + 4)`

Answer 2

5(v-5)(v+4)

Explanation:

We have given a expression.

5v²-5v-100

We have to calculate the factor of given expression.

As we know that 5 is multiple of 5 and 100.

taking 5 common from given expression, we have

5(v²-v-20)

Splitting the middle term of given expression, we have

5(v²-5v+4v-20)

Making groups and taking common, we have

5(v(v-5)+4(v-5))

Taking v-5 as common, we have

5(v-5)(v+4) which is the answer.