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(2x - 5y)(4x^2 + 10xy + 25y^2)

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Q: How do you factor the difference of cubes 8x3 - 125y3 where both the 3's are exponents?
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What are the rules of factorization?

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.


How do you factor sum or difference of two cubes?

Sum and difference of two cubes is factored this way : a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)


What are the kinds of factor?

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.


How do you factor x the power of 4 - x?

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.


What are the 5 kinds of factoring?

the 5 kinds of factoring are common monomial factor, difference of two cubes, quadratic trinomial, perfect square trinomial,and difference of two square.


How do you binomials?

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)


How do you factor the sum and difference of two cubes?

a3 + b3 = (a + b)(a2 - ab + b2) a3 - b3 = (a - b)(a2 + ab + b2)


If the difference of two positive numbers is 1 the product of these same two number is also 1 What is the difference of the cubes of these two numbers?

The difference of their cubes is 4.


How do you factor 64x3-y3?

The difference of cubes has a formula. (4x - y)(16x2 + 4xy + y2)


What is the factor for 3r to the power of 2 - 2r - 5?

factor out the common monomial, 5. 5(r^3-1) Factor as a difference of cubes. 5(r-1)(r^2+r+1)


Definition of Sum or difference of two cubes?

That means that you calculate the cubes of two numbers, and then either add or subtract them.


What is the difference between sugar crystals and sugar cubes?

sugar crystals are just small sugar pieces that combine into sugar cubes