How is the following equation possible?

\[ x^3 - 6x - 40 = (x-4)(x^2+4x+10) \]

I forgot

How is the following equation possible?

\[ x^3 - 6x - 40 = (x-4)(x^2+4x+10) \]

I forgot

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TopNewest\(x^3-6x-40 \\ = x^3-4x^2+4x^2-16x+10x-40 \\ = x^2(x-4)+4x(x-4)+10(x-4) \\ = (x-4)(x^2+4x+10)\)

Its not something to memorize to forget though :P – Nihar Mahajan · 8 months, 3 weeks ago

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– Sandeep Bhardwaj · 8 months, 3 weeks ago

Thanks Nihar, it was quite helpful.Log in to reply

How did you get those red numbers ? – Jason Chrysoprase · 8 months, 3 weeks ago

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– Nihar Mahajan · 8 months, 3 weeks ago

So that we can factor out \((x-4)\) from each pair.Log in to reply

– Jason Chrysoprase · 8 months, 3 weeks ago

thx mateLog in to reply

I'm 13 – Jason Chrysoprase · 8 months, 3 weeks ago

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