Question

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Answer 1

Answer:

(4x - 5y)(16x² + 25y² + 20xy)

4a² + 9b² + c² - 12ab + 6bc - 4ca

Step-by-step explanation:

2. a) 64x³ - 125y³

=> (4x)³ - (5y)³

>> a³ - b³ = (a - b)(a² + b² + ab)

=> (4x - 5y)([4x²] + [5y²] + [(4x)(5y])

=> (4x - 5y)(16x² + 25y² + 20xy)

2. b) (2a - 3b - c)²

>> (a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca

=> (2a)² + (-3b)² + (-c)² + 2(2a)(-3b) + 2(-3b)(-c) + 2(-c)(2a)

=> 4a² + 9b² + c² + (-12ab) + (6bc) + (-4ca)

=> 4a² + 9b² + c² - 12ab + 6bc - 4ca