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The polynomial x3+8 is equal too (x+2)(x2-2x+4

2 Answers

0 votes
for starters: Please practice presenting polynomial expressions properly.

x3+8 is equal too (x+2)(x2-2x+4

should be written as "x^3 + 8 is equal to (not too) (x+2)(x^2 - 2x + 4).

You don't share the instructions. I suspect you are to respond "true" or "false."

It happens that x^3 + 8 equals x^3 + 2^3, which is the sum of two cubes.

There is a formula for the "sum of two cubes:"

It is a^3+b^3 = (a^2 - ab + b^2)(a+b).

Therefore, x^3 + 2^3 = (x+2)(x^2 -2x + 2^2), or (x+2)(x^2 - 2x + 4).
User Koosha
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3 votes
This is the sum of cubes which factors to:

(x+2)(x^2-2x+4)
User Ben Griswold
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