[factoring completely][section 46]

(1.) 5b² + 20b - 60 here is the problem

= 5(b² + 4b - 12) factor

= 5(b + 6)(b - 2) factor

(2.) 2x² + 10x - 28 here is the problem

= 2(x² + 5x - 14) factor

= 2(x + 7)(x - 2) factor

(3.) 4b² + 26b - 14 here is the problem

= 2(2b² + 13b - 7) factor

= 2(2b - 1)(b + 7) factor

(4.) 12x² - 10x - 12 here is the problem

= 2(6x² - 5x - 6) factor

= 2(3x + 2)(2x - 3) factor

(5.) 3x² - 3y² here is the problem

= 3(x² - y²) factor

= 3(x - y)(x + y) factor

(6.) 24a² - 54b² here is the problem

= 6(4a² - 9b²) factor

= 6(2a - 3b)(2a + 3b) factor

(7.) 2y³ - 4y² - 48y here is the problem

= 2y(y² - 2y - 24) factor

= 2y(y - 6)(y + 4) factor

(8.) 2m³ - 20m² + 18m here is the problem

= 2m(m² - 10m + 9) factor

= 2m(m - 9)(m - 1) factor

(9.) 2a³ - 2a here is the problem

= 2a(a² - 1) factor

= 2a(a - 1)(a + 1) factor

(10.) 2x² + 12x - 80 here is the problem

= 2(x² + 6x - 40) factor

= 2(x + 10)(x - 4) factor