Answer:
(x - 2)(5x + 7)
Explanation:
(3x - 6)(2x + 3) + (2 - x)(2 + x) ← expand factors using FOIL
= 6x² - 3x - 18 + 4 - x² ← collect like terms
= 5x² - 3x - 14
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 14 = - 70 and sum = - 3
The factors are - 10 and + 7
Use these factors to split the x- term
5x² - 10x + 7x - 14 ( factor the first/second and third/fourth terms
= 5x(x - 2) + 7(x - 2) ← factor out (x - 2) from each term
= (x - 2)(5x + 7) ← in factored form