Question

Consider the following. $64 + 125x^3$ Use the following factorization formulas involving cubes to factor the expression. Factorizations with Cubes Perfect cube $a^3 + 3a^2b + 3ab^2 + b^3 = (a + b)^3$ Perfect cube $a^3 - 3a^2b + 3ab^2 - b^3 = (a - b)^3$ Difference of two cubes $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$ Sum of two cubes $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

Name: consider the following 64 125x3 use the following factorization formulas involving cubes to factor the expression factorizations with cubes perfect cube a3 3a2b 3ab2 b3 a b3 perfect cube a3 77313
Uploaded: 2022-05-30T18:47:27-08:00
Duration: 1 min 21 s
Channel: Varsha Aggarwal
Description: consider the following 64 125x3 use the following factorization formulas involving cubes to factor the expression factorizations with cubes perfect cube a3 3a2b 3ab2 b3 a b3 perfect cube a3 77313

          Consider the following.
$64 + 125x^3$
Use the following factorization formulas involving cubes to factor the expression.
Factorizations with Cubes
Perfect cube
$a^3 + 3a^2b + 3ab^2 + b^3 = (a + b)^3$
Perfect cube
$a^3 - 3a^2b + 3ab^2 - b^3 = (a - b)^3$
Difference of two cubes
$a^3 - b^3 = (a - b)(a^2 + ab + b^2)$
Sum of two cubes
$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

consider the following 64 125x3 use the following factorization formulas involving cubes to factor the expression factorizations with cubes perfect cube a3 3a2b 3ab2 b3 a b3 perfect cube a3 77313

Added by Steven M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

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Solved by Expert Varsha Aggarwal

05/30/2022

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Consider the following. $64 + 125x^3$ Use the following factorization formulas involving cubes to factor the expression. Factorizations with Cubes Perfect cube $a^3 + 3a^2b + 3ab^2 + b^3 = (a + b)^3$ Perfect cube $a^3 - 3a^2b + 3ab^2 - b^3 = (a - b)^3$ Difference of two cubes $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$ Sum of two cubes $a^3 + b^3 = (a + b)(a^2 - ab + b^2)$