Question

factories 64x^3-216y^3


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Answer 1

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64 x^3 – 216 y^3

= 8{ 8 x^3 – 27 y^3 }

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Answer 2

Answer:

64x³ - 216y³

64x³ - 216y³= 8(2x-3y)(4x²+6xy+9y²)

Step-by-step explanation:

Given 64x³ - 216y³

= 4³x³ - 6³y³

= (4x)³ - (6y)³

= (4x-6y)[(4x)²+(4x)(6y)+(6y)²]

/* By algebraic identity:

a³-b³ = (a-b)(a²+ab+b²) */

= (4x-6y)(16x²+24xy+36y²)

= [2(2x-3y)][4(4x²+6xy+9y²)]

= 8(2x-3y)(4x²+6xy+9y²)

Therefore

64x³ - 216y³

= 8(2x-3y)(4x²+6xy+9y²)

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