Question

x³+125. factorize this example
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Answer 1

Answer:

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :

(a+b) • (a2-ab+b2)

Proof : (a+b) • (a2-ab+b2) =

a3-a2b+ab2+ba2-b2a+b3 =

a3+(a2b-ba2)+(ab2-b2a)+b3=

a3+0+0+b3=

a3+b3

Check : 125 is the cube of 5

Check : x3 is the cube of x1

Factorization is :

(x + 5) • (x2 - 5x + 25)

Answer 2

Answer:

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Step-by-step explanation:

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