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Anastasy [175]
3 years ago
14

What is the factorization of g3 – 125?

Mathematics
1 answer:
Mkey [24]3 years ago
4 0
\bf \textit{difference of cubes}
\\ \quad \\
a^3+b^3 = (a+b)(a^2-ab+b^2)\qquad
(a+b)(a^2-ab+b^2)= a^3+b^3 \\ \quad \\
a^3-b^3 = (a-b)(a^2+ab+b^2)\qquad
(a-b)(a^2+ab+b^2)= a^3-b^3 \\\\
-------------------------------\\\\
g^3-125\implies g^3-5^3\implies (g-5)(g^2+5g+5^2)
\\\\\\
(g-5)(g^2+5g+25)
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