Question

64x³+125y³, Factorize the given equation.

Answer 1

hello mate!.......

$given...... \\ \\ 64x {}^{3} - 125y {}^{3} \\ \\ 4 {}^{3} x {}^{3} - 5 {}^{3} y {}^{3} \\ \\ (4x) {}^{3} - (5y) {}^{3} \\ \\ we \: know.... \\ (x {}^{3} - y {}^{3} ) = (x - y)(x {}^{2} + xy + y {}^{2} ) \\ \\ (4x - 3y)(16x {}^{2} + 20xy + 25y { }^{2} ) \\ \\ hope \: it \: helps \: u$

Answer 2

Answer:

64x³+125y³

= (4x+5y)( 16x²-20xy+25y²)

Step-by-step explanation:

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a³ + b³ = ( a + b )( a² - ab + b² )

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64x³ + 125y³

= ( 4x )³ + ( 5y )³

= ( 4x+5y )[ (4x)²- (4x)(5y)+(5y)²]

= (4x+5y)( 16x²-20xy+25y² )

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