Question

x
${x6}y9 - 1$
​

Answer 1

Simplify:

Step-by-step explanation:

$\ Given \ value:\\\\x^6y^9-1\\\\\ Solution:\\\\x^6y^9-1\\\\\Rightarrow (x^2y^3)^3-(1)^3\\\\\ formula:\\\\a^3-b^3=(a-b)(a^2+b^2+ab)\\\\\Rightarrow (x^2y^3)^3-(1)^3= (x^2y^3-1)((x^2y^3)^2+1^2+x^2y^3\times 1)\\\\\Rightarrow (x^2y^3)^3-(1)^3= (x^2y^3-1)(x^4y^6+1+x^2y^3)$

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