# Factoring A Sum Or Difference Of Cubes

Factoring A Sum Or Difference Of Cubes – Something, something, something. Where something is a threefold factor. Example: 2  2  2 = 8, so 8 is a perfect cube. x2  x2  x2 = x6, so x6 is a perfect cube. It is easy to tell if the variable is a perfect cube. Just check if the exponent is divisible by 3.

It has two conditions. Terms are separated by a + or – sign. Each word is a perfect cube. The sum or difference of two dice results in a binomial  trinomial.

## Factoring A Sum Or Difference Of Cubes

Now that we know how to get the signal, we can work out what’s inside. Block this word to find this word. Cube root of 1st term Product of cube root of 1st term and cube root of 2nd term. Cube root of 2nd term

### First Quarter Worksheet 7

Consider this variation of the dice. Pay attention to your signs!!! 3x 5 9×2 15x 25 Cube Root of Term 1 Multiply these to get the following. Block this word to find this word. Cube 2nd term Square this term to find this word. You did it! I hope you took note because we are done here!!!

Example 2: Order each of the following polynomials 8×3 – 27 = (2x – 3)((2x)2 + (2x)(3) + (3)2)  Use the formula a3 – b3 = (a – b) ( a2 + ab + b2) = (2x – 3) (4×2 + 6x + 9) b) 9×4 – 9x = 9x(x3 – 1)  First eliminate GCF = 9x(x – 1)(x2 + x + 1)  Explain the difference of the dice x3 – 1

In order for this website to work, we store user data and pass it on to processors. To use this website, you must accept our privacy policy, including the cookie policy. Where something is a threefold factor. Example: 2  2  2 = 8, so 8 is a perfect cube. x2  x2  x2 = x6, so x6 is a perfect cube. It is easy to tell if the variable is a perfect cube. Just check if the exponent is divisible by 3.

It has two conditions. Terms are separated by a + or – sign. Each word is a perfect cube. The sum or difference of two dice results in a binomial  trinomial.

## Solved! Write It On The Notebook D. Factor The Sum And Difference Of Cubes. 1. R3 + 125 4. 27×3 Y3 2. 1000 N3 5. 128p°q3 + 2

Now that we know how to get the signal, we can work out what’s inside. Block this word to find this word. Cube root of 1st term Product of cube root of 1st term and cube root of 2nd term. Cube root of 2nd term

Consider this variation of the dice. Pay attention to your signs!!! 3x 5 9×2 15x 25 Cube Root of Term 1 Multiply these to get the following. Block this word to find this word. Cube 2nd term Square this term to find this word. You did it! I hope you took note because we are done here!!!

Example 2: Order each of the following polynomials 8×3 – 27 = (2x – 3)((2x)2 + (2x)(3) + (3)2)  Use the formula a3 – b3 = (a – b) ( a2 + ab + b2) = (2x – 3) (4×2 + 6x + 9) b) 9×4 – 9x = 9x(x3 – 1)  First eliminate GCF = 9x(x – 1)(x2 + x + 1)  Explain the difference of the dice x3 – 1

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## Solved: G. Factor The Following Sum And Difference Of Two Cubes. (show Y 1. M^3+64 N^3 2. A^3+343 B^3 3. X^3 216 Y^3 4. 125 X^3 5. X^3 64

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## Factoring The Sum Or Difference Of Two Cubes

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Kuta Software – Infinite Algebra 2 Name_______________________________________________ Describe the sum/difference of cubes Date________________ Period____ Describe each one completely. 1) x 3 + 125 2) a 3 + 64 3) x 3 – 64 4) u 3 + 8 5) x 3 – 27 6) 125 − x 3 7) 1 − a 3 8) a 3 + 125 9) x 3 + 27 10) x 3 + 1 11) 8 x 3 + 27 12) −27u 3 + 125 ©W Z2C0p1d2p eK0uxtpal DSxo6f2thw9aErneF GLKLiCc.B w qA3Cl4sGzrHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVRHVH ZMG aSdWe s DweijtHh9 9IlnEfdiMnxittQeY 5AUldgJenbMrVaK t2j .v – 1- Worksheet from Kuta Software LLC 13) −a 3 − 8 14) 250 x 4 + 128 x 15) 648a + 1029a 4 16) 8a 3 + 125 17) 64 x +3 + 8 x 18) x 19) 343m 3 + 64n 3 20) m 3 + 8n 3 21) a 3 + 343b 3 22) x 3 − 216 y 3 23) 1029 yx 3 + 24 y 4 244) m 2 G3 I KKT 3I + 2444 2 G3 I KKT OSloufltgwgayroe5 rL9LnCw 3 seconds dAqlrle Gr5iRgJhCtHs0 7rFelsOeartvNeMdM.L K aM8a5dFeQ pwxiGtihK tIsnIfsi5n1ibtfeu Direct File _____________________ 1) x 3 + 125 2) a 3 + 64 ( x + 5)( x 2 – 5 x + 25) 3) x 3 – …

### Factoring Sum And Difference Of Cubes Clue Mini Mystery Activity

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