(2x - 5y)(4x^2 + 10xy + 25y^2)
a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
The difference of cubes has a formula. (4x - y)(16x2 + 4xy + y2)
factor out the common monomial, 5. 5(r^3-1) Factor as a difference of cubes. 5(r-1)(r^2+r+1)
There is a formula for the sum of cubes. In this case, it's (b + 1)(b^2 - b + 1)
Squares (or cubes or more) of prime numbers have one distinct prime factor, but if you're counting them individually, all composite numbers have at least two prime factors.
Do in this order. 1. All, find the gfc 2. Binomial, factor as difference of squares, sum of cubes, difference of cubes. 3. Trinomial, factor as a quadratic. 4. 4 or more terms, factor by grouping.
Sum and difference of two cubes is factored this way : a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
factoring whole numbers,factoring out the greatest common factor,factoring trinomials,factoring the difference of two squares,factoring the sum or difference of two cubes,factoring by grouping.
First, you can take out the common factor "x".For what remains (the factor other than "x"), you can use the formula for the difference of two cubes.
the 5 kinds of factoring are common monomial factor, difference of two cubes, quadratic trinomial, perfect square trinomial,and difference of two square.
There are many different methods to factor polynomials in general; specifically for binomials, you can check:whether you can separate a common factor,whether the binomial is the difference of two squares,whether the binomial is the sum or difference of two cubes (or higher odd-numbered powers)
a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)
The difference of their cubes is 4.
The difference of cubes has a formula. (4x - y)(16x2 + 4xy + y2)
factor out the common monomial, 5. 5(r^3-1) Factor as a difference of cubes. 5(r-1)(r^2+r+1)
That means that you calculate the cubes of two numbers, and then either add or subtract them.
sugar crystals are just small sugar pieces that combine into sugar cubes