Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

2233

2233

babababa

babababa

Factoring – Sum and Difference of Cubes

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

EXAMPLE : Factor

278 3x

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

1st – find a and bEXAMPLE : Factor

278 3x

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

1st – find a and b

327

283

3 3

b

xxa

EXAMPLE : Factor

278 3x

- Take the cube root of the number and divide your exponent by 3…

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

1st – find a and b

2nd – fill in a and b in the top equation’s binomial part…

327

283

3 3

b

xxa

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

EXAMPLE : Factor

278 3x

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

1st – find a and b

2nd – fill in a and b in the top equation’s binomial part…

3rd – fill in the trinomial parts

327

283

3 3

b

xxa

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

EXAMPLE : Factor

278 3x

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

1st – find a and b

2nd – fill in a and b in the top equation’s binomial part…

3rd – fill in the trinomial parts

4th - simplify

327

283

3 3

b

xxa

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

EXAMPLE : Factor

278 3x

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

96 864 yx

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

EXAMPLE : Factor

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

96 864 yx 1st – find a and b

33 9

23 6

28

464

yyb

xxa

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

EXAMPLE : Factor

- Take the cube root of the number and divide your exponent by 3…

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

96 864 yx 1st – find a and b

2nd – place a and b into it’s binomial part…

33 9

23 6

28

464

yyb

xxa

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

EXAMPLE : Factor

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

96 864 yx 1st – find a and b

2nd – place a and b into it’s binomial part…

3rd – fill in the trinomial parts

33 9

23 6

28

464

yyb

xxa

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

EXAMPLE : Factor

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa

96 864 yx 1st – find a and b

2nd – place a and b into it’s binomial part…

3rd – fill in the trinomial parts

4th - simplify

33 9

23 6

28

464

yyb

xxa

Conditions : Perfect cube #’s ( 1 , 8 , 27 , 64 , 125 , … )

Perfect cube exponents ( 3 , 6 , 9 , 12 ,15 , … )

Separated by a plus OR minus sign

EXAMPLE : Factor

Factoring – Sum and Difference of Cubes

2233

2233

babababa

babababa