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How do you factor the polynomial 5a squared minus 15?
5a2-15 = 5 (a2-3) = 5 (a-sqrt(3))(a+sqrt(3)) as a2-b2=(a-b)(a+b)
How do you factor the expression x cubed plus 216?
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.
Factor a cubed plus B-Cubed?
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.
What are the rules on factoring polynomials with common monomial?
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
What is b squared to 100?
If: b2 = 100 Then: b = 10
