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MAXImum [283]
2 years ago
11

Factor x^3+25 completely

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
4 0

Answer:

Please check the explanation.    

Step-by-step explanation:

Given the expression

\:x^3+25\:

Please note that the given expression could not factor further.

<em>But, wait!</em>

Let me take a sample expression and factor that sample expression so that you could get an idea of how to factorize the expression

Given the sample expression

x^2-5x+6

Breaking the expression into groups

\:x^2-5x+6=\left(x^2-2x\right)+\left(-3x+6\right)

Factor out x from x²-2x: x(x-2)

Factor out -3 from -3x+6: -3(x-2)

                   =x\left(x-2\right)-3\left(x-2\right)

Factor out the common term (x-2)

                   =\left(x-2\right)\left(x-3\right)

Thus, factorizing the expression such as:

x^2-5x+6=\left(x-2\right)\left(x-3\right)      

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