How do you factor 8x 3 y 3?

How do you factor 8x 3 y 3?

Algebra Examples Rewrite 8×3 8 x 3 as (2x)3 ( 2 x ) 3 . Since both terms are perfect cubes, factor using the difference of cubes formula, a3−b3=(a−b)(a2+ab+b2) a 3 – b 3 = ( a – b ) ( a 2 + a b + b 2 ) where a=2x a = 2 x and b=y . Simplify. Apply the product rule to 2x 2 x .

How do you factor 4x 2 y 2?

Algebra Examples Rewrite 4×2 4 x 2 as (2x)2 ( 2 x ) 2 . Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) a 2 – b 2 = ( a + b ) ( a – b ) where a=2x a = 2 x and b=y .

Which of the is a perfect square trinomial?

A perfect square trinomial is an algebraic expression that is of the form ax2 + bx + c, which has three terms. It is obtained by the multiplication of a binomial with itself. For example, x2 + 6x + 9 is a perfect square polynomial obtained by multiplying the binomial (x + 3) by itself.

What is cube basic?

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What is the factor of a 3?

Factors of a 3 are the numbers which on divide 3 and gives the remainder zero. Factors of 3 are 1 and 3 only. Note that -1 × -3 = 3.

How do you solve a 3 b 3?

What is the formula for (a3 – b3)?

1. Answer: (a3 – b3) = (a – b)(a2 + b2 + ab) Let us prove this by considering a = 4 and b= 2 then. (43 – 23) = (4 – 2)(42 + 22 + 4 × 2) LHS = (2)(28)
2. LHS = 56. RHS = (a – b)(a2 + b2 + ab) RHS = (4 – 2)(42 + 22 + 4 × 2)
3. RHS = 56. ∴ LHS = RHS. (a3 – b3) = (a – b)(a2 + b2 + ab) Hence the proof.

What is the formula for factoring the sum of cubes?

The formula for factoring the sum of cubes is: a³ + b³ = (a + b) (a² – ab + b²). In this case, a is x, and b is 3, so use those values in the formula. Thanks! How can I find roots? Your question is very abstract. There are several methods to find roots given a polynomial with a certain degree.

How to solve a Rubik’s cube with 2 or 3 correctly located?

If you find that you have 2 or 3 cubes correctly located, you may need to pull apart the Rubik’s cube and rebuild it correctly. Again, just an easy formula to solve this case : U R U’ L’ U R’ U’ L . Let us analyze the two possible cases :

How do you factor a cubic polynomial with two terms?

To factor a cubic polynomial, start by grouping it into 2 sections. Then, find what’s common between the terms in each group, and factor the commonalities out of the terms. If each of the 2 terms contains the same factor, combine them.

How do you find the factorization of x2 with roots?

If you have an x 2 in your roots, remember that both negative and positive numbers fulfill that equation. The solutions are -3, √6 and -√6. Rearrange the expression so it’s in the form of ax3+bx2+cx+d. Let’s say you’re working with the equation: x 3 – 4x 2 – 7x + 10 = 0. Find the all of the factors of “d”.