Factoring Sum and Difference of Two Cubes: Practice Problems

Direction: Factor out each binomial completely. Work it out on paper first then scroll down to see the answer key.

Problem 1: [latex]{x^3} + 216[/latex]

Problem 2: [latex]2{x^3} – 16[/latex]

Problem 3: [latex]64{x^3} – 27{y^3}[/latex]

Problem 4: [latex]3 + 81{x^3}{y^3}[/latex]

Problem 5: [latex]4{x^6}{y^{12}} – 108[/latex]

scroll down to see the answer key

ANSWER KEY

SOLUTION TO PROBLEM NUMBER #1 

x^3+216=(x+6)(x^2-6x+36)

SOLUTION TO PROBLEM NUMBER #2

2x^3-16=2(x-2)(x^2+2x+4)

SOLUTION TO PROBLEM NUMBER #3

64x^3-27y^3=(4x-3y)(16x^2+12xy+9y^2)

SOLUTION TO PROBLEM NUMBER #4

3(1+3xy)(1-3xy+9x^2y^2)

SOLUTION TO PROBLEM NUMBER #5

4x^6y^12-108=4(x^2y^4-3)(x^4y^8+3x^2y^4+9)

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