5a2-15 = 5 (a2-3) = 5 (a-sqrt(3))(a+sqrt(3)) as a2-b2=(a-b)(a+b)
Use a^3 + b^3 = (a + b)(a^2 - ab + b^2), where a^2 is a squared, a^3 is a cubed. Note that 216 = 6^3.
The expression a^3 + b^3 can be factored using the sum of cubes formula, which states that a^3 + b^3 = (a + b)(a^2 - ab + b^2). Therefore, a^3 + b^3 can be factored as (a + b)(a^2 - ab + b^2). This formula helps us break down the sum of two cubes into a product of binomials, simplifying the expression.
In order to successfully factor you should follow these steps: 1.) Take out the GCF (ALWAYS DO THIS FIRST) 2.) Diff of Perfect Squares a^2-b^2=(a+b)(a-b) 3.) Diff/Sum of Cubes a^3+b^3=(a+b)(a^2-ab+b^2) a^3-b^3=(a-b)(a^2+ab+b^2) 4.) Key Number 5.) Grouping
If: b2 = 100 Then: b = 10
19 x a x a x b = 19a2b
yes
(a + 2 - b) (a + 2 + b)
(b + 2c)(b - c)
27a3b2
The GCF is a2b
3 x 3 x 3 x 3 x b = 81b
(b + 4)(b + 4)
4
(b + 8)(b - 1)
(b + 8)(b + 4)
The GCF of 5ab and 56b squared is b.