Question

Factoring using the distributive property

got really sick and missed a bunch of school, would really appreciate the help !

Answer 1

Explanation:

Factorizing using distributive property:

• Factorize the terms
• Find the Greatest Common factor.
• Take GCF from both the terms.

1) 5a² - 15

5a² = 5 * a²

15 = 5 * 3

GCF = 5

5a² - 15 = 5*a² - 5*3

= 5a(a - 3)

5) 36x²y - 48xy²

36x²y = 2 * 2 * 3 * 3 * x² * y

48xy² = 2 * 2 * 2 * 2 * 3 * x * y²

GCF = 2 * 2 * 3*x*y = 12xy

36x²y - 48xy² = (12xy * 3x) - (12xy*4y)

= 12xy*(3x - 4y)

6)75b²c³ + 60bc⁶

75b²c³ = 3 * 5 * 5 * b² * c³

60bc⁶ = 2 * 2 * 3 * 5 * b * c⁶

GCF = 3*5*b*c³ = 15bc³

75b²c³ + 60bc⁶ = [15bc³* 5b] + [15bc³ * 4bc³]

= 15bc³ * (5b + 4bc³)