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\nWhat are the formulas for the sum and difference of two cubes\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\n👉 Learn how to factor polynomials using the sum or difference of two cubes. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an...\n👉 Learn how to factor polynomials using the sum or difference of two cubes. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. To factor an algebraic expression means to break it up into expressions that can be multiplied together to get the original expression. Sum of two cubes method of factoring is used when the polynomial has two terms which can be expressed as the cube of numbers (or expressions) and the plus sign in between the two terms while the difference of two cubes method of factoring is used when the polynomial has two terms which can be expressed as the cube of numbers (or expressions) and the minus sign is between the two terms. To factor a polynomial using the sum of two cubes, we express the polynomial as a product of the sum of the cube roots of the two original terms of the polynomial and the difference of the sum of the square of the cube roots of the terms and the product of the cube roots of the terms, i.e. (a^3 + b^3) = (a + b)(a^2 - ab + b^2). To factor a polynomial using the difference of two cubes, we express the polynomial as a product of the difference of the cube roots of the two original terms of the polynomial and the sum of the square of the cube roots of the terms and the product of the cube roots of the terms, i.e. (a^3 - b^3) = (a - b)(a^2 + ab + b^2). If the original polynomial has a common factor, it is helpful to first factor out the common factor of the expression before factoring using the sum/difference of two cubes method.\n
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Resource Details

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Media Length
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2:03
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2015
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Language
English
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Audiences
For Teacher Use
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Fine Print: Educational Use
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Concepts

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polynomials, zeros, solutions, multiplicity, factoring, standard form, power, squares, cubes, x-intercepts
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polynomial, function, equation, solve, factor, gcf, classify, monomial, binomial, trinomial, cubic, quartic, factor theorem, solving, degree, lc, how to, math help, sum and difference of two cubes, difference of two cubes, difference of two cubes formula, sum of two cubes, sum of two cubes factoring, sum of two cubes formula, sum of two cube numbers, factored form, free math videos, brian mclogan, how to factor, unit 3, difference, guys, talk, problem
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