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  4. The following are the steps involved in factorizing 64 x6-y6. Arrange them in sequential order. (A) (2 x)3+y3 (2 x)3-γ3 (B) (8 x3)2-(y3)2 (C) (8 x3+y3)(8 x3-y3) (D) (2 x+y)(4 x2-2 x y+y2)(2 x-y)(4 x2+2 x y+y2)

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Q. The following are the steps involved in factorizing $64 x^6-y^6$. Arrange them in sequential order. (A) $\left\{(2 x)^3+y^3\right\}\left\{(2 x)^3-\gamma^3\right\}$ (B) $\left(8 x^3\right)^2-\left(y^3\right)^2$ (C) $\left(8 x^3+y^3\right)\left(8 x^3-y^3\right)$ (D) $(2 x+y)\left(4 x^2-2 x y+y^2\right)(2 x-y)\left(4 x^2+2 x y+y^2\right)$

Polynomials and Square Roots of Algebraic Expressions

Solution:

BCAD is the required sequential order of steps in solving the given problem.