Which of the following is the correct factorization of the polynomial below?
27x^3 + 64y^3
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The factorization of the 27x³ + 64y³ is (3x +4y)(9x²-12x+16)
Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
27x³ + 64y³
27x³ + 64y³=(3x)³+(4y)³
∵ a³+b³=(a+b)(a²−ab+b²)
=(3x+4y)[(3x)²-(3x)(4y)+(4y)²]
=(3x +4y)(9x²-12x+16)
Hence, the factorization of the 27x³ + 64y³ is (3x +4y)(9x²-12x+16)
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