How do you FACTOR 125 - 27^3?
I'm having so much trouble with this! Idk why the problem is written backwards thats really weird. How do I factor this HELP!!
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I'm having so much trouble with this! Idk why the problem is written backwards thats really weird. How do I factor this HELP!!
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Answers & Comments
You need to use the difference of cubes pattern.
a³ - b³ = (a - b)(a² + ab + b²)
125 - 27³
(5)³ - (27)³ = (5 - 27)(5² + 5*27 + 27²)
If you left out a variable by mistake,
125 - 27x³
(5)³ - (3x)³ = (5 - 3x)(25 + 15x + 9x²)
(5 - 27)(5^2 + 5(27) + 27^2 )
= - 22 ( 25 + 135 + 729 )
= - 22 ( 889 )