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18 maj 2015 · How do you factor 5x3 + 40y6? Algebra Polynomials and Factoring Special Products of Polynomials. 1 Answer. Zor Shekhtman. May 18, 2015. You can use a formula for a sum of cubes: a3 +b3 = (a +b) ⋅ (a2 − ab +b2) Notice that 40y6 = 5 ⋅ 8 ⋅ y6 = 5 ⋅ 23 ⋅ (y2)3 = 5 ⋅ (2y2)3.
5x 3 + 40y 6 = 5 • (x 3 + 8y 6) Trying to factor as a Sum of Cubes : 4.2 Factoring: x 3 + 8y 6 Theory : A sum of two perfect cubes, a 3 + b 3 can be factored into : (a+b) • (a 2-ab+b 2) Proof : (a+b) • (a 2-ab+b 2) = a 3-a 2 b + ab 2 + ba 2-b 2 a + b 3 = a 3 +(a 2 b-ba 2)+(ab 2-b 2 a)+ b 3 = a 3 + 0 + 0 + b 3 = a 3 + b 3 Check : 8 is the ...
The solution to factor 5x^3+40y^6 is 5 (x+2y^2) (x^2-2xy^2+4y^4) Detailed step by step solution for factor 5x^3+40y^6.
Solution. Lydia. Mechanical engineer · Tutor for 4 years. Answer: 5 (x+2y^ {2}) (x^ {2}-2xy^ {2}-4y^ {4}) 5(x+2y2)(x2−2xy2 −4y4) .
SOLUTION: 5x^3 + 40y^6. Algebra: Polynomials, rational expressions and equations. Solvers. Lessons. Answers archive. Click here to see ALL problems on Polynomials-and-rational-expressions. Question 272821: 5x^3 + 40y^6. Answer by JBarnum (2146) ( Show Source ): You can put this solution on YOUR website!
