Respuesta :
Answer:
[tex](6p-5)(5p+4)[/tex]
Step-by-step explanation:
We have been given an expression [tex]30p^2-1p-20[/tex]. We are asked to factor our given expression by grouping.
First of all, we will split the middle term of our given expression into parts, whose product is [tex]-600[/tex] and whose sum is negative 1. We know such two numbers are [tex]-\text{25 and 24}[/tex].
[tex]30p^2-25p+24p-20[/tex]
Make two groups:
[tex](30p^2-25p)+(24p-20)[/tex]
Factor out GCF of each group:
[tex]5p(6p-5)+4(6p-5)[/tex]
[tex](6p-5)(5p+4)[/tex]
Therefore, the factored form of our given expression is [tex](6p-5)(5p+4)[/tex].
