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04-11-2022
Mathematics

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a3 − b3 = (a − b)(a2 + ab + b2).Use the difference of cubes identity to write the expression x3 – 64 in factored form.

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JakaraB48928 JakaraB48928

04-11-2022

Solution

For this case we have the following expression

[tex]x^3-64[/tex]

and we know that a= x and b= 4

Then using the formula given:

a^3 − b^3 = (a − b)(a^2 + ab + b^2).

We got:

[tex](x-4)(x^2+4x+16)[/tex]

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