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Step by Step Solution. Step 1 : Equation at the end of step 1 : (5 • (x3)) + (23•5y6) Step 2 : Equation at the end of step 2 : 5x3 + (23•5y6) Step 3 : Step 4 : Pulling out like terms : 4.1 Pull out like factors : 5x3 + 40y6 = 5 • (x3 + 8y6) Trying to factor as a Sum of Cubes : 4.2 Factoring: x3 + 8y6.
18 maj 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. Using the above formula for a = x and b = 2y2 and factoring out constant 5, we get: 5x3 + 40y6 = 5x3 +5(2y2)3 = 5(x + 2y2)(x2 − 2xy2 +4y4)) Answer link.
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What is factor 5x^3+40y^6 ? The solution to factor 5x^3+40y^6 is 5(x+2y^2)(x^2-2xy^2+4y^4)
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5X^3+40Y^6 factor completely-----5(x^3 + 8y^6)---= 5(x^3 + (2y^2)^3)----= 5(x + 2y)(x^2-x(2y)+(2y)^2)----= 5(x+2y)(x^2-2xy+4y^2) ===== cheers, Stan H.