Question

Factor Each Expression Completely

6(x+5)^2 -5(x+5) +1 (Show steps please and explain)
The answer is (2x+9)(3x+14) but how????

Answer 1

6(x + 5)² - 5(x + 5)
6(x + 5)(x + 5) - 5(x) - 5(5)
6(x(x + 5) + 5(x + 5)) - 5x - 25 Distributive Property
6(x(x) + x(5) + 5(x) + 5(5)) - 5x - 25
6(x² + 5x + 5x + 25) - 5x - 25 FOIL
6(x² + 10x + 25) - 5x - 25
6(x²) + 6(10x) + 6(25) - 5x - 25
6x² + 60x + 150 - 5x - 25 Distributive Property
6x² + 60x - 5x + 150 - 25
6x² + 55x + 125 Adding Equations
6x² + 30x - 25x - 125
6x(x) + 6x(5) + 25(x) + 25(5)
6x(x + 5) + 25(x + 5)
(6x + 25)(x + 5) Factoring