(x-5)(x²+5x+25)=?
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Answer:
[tex]x^{3}[/tex] - 125
Step-by-step explanation:
(x-5)([tex]x^{2}[/tex]+5x+25) Distribute (x-5) to the 2nd equation
[tex]x^{3}[/tex] + [tex]5x^{2}[/tex] + 25x - [tex]5x^{2}[/tex] - 25x -125 Combine like terms
[tex]x^{3}[/tex] - 125 (+[tex]5x^{2}[/tex] and - [tex]5x^{2}[/tex] is 0 and + and - 25 x is also 0 so [tex]x^{3}[/tex] - 125 is left)