Question

1. $36p^{2}+36p-280$

Explanation:

Step1: Factor out GCF

First, find the greatest common factor (GCF) of 36, 36, and 280. The GCF is 4.
$36p^2 + 36p - 280 = 4(9p^2 + 9p - 70)$

Step2: Factor quadratic trinomial

Factor $9p^2 + 9p - 70$ by finding two numbers that multiply to $9\times(-70)=-630$ and add to 9. These numbers are 30 and -21. Split the middle term and factor by grouping:
$9p^2 + 30p - 21p - 70 = 3p(3p + 10) - 7(3p + 10) = (3p - 7)(3p + 10)$

Step3: Combine factors

Combine the GCF with the factored quadratic.
$4(3p - 7)(3p + 10)$

Answer:

$4(3p - 7)(3p + 10)$