[tex]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)[/tex]
Answer:
5(v-5)(v+4)
Step-by-step 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.