Algebramedium · Past Paper

Factorize: 27x^3 + 8y^3

A(3x+2y)(9x^2-6xy+4y^2)
B(3x-2y)(9x^2+6xy+4y^2)
C(3x+2y)^3
D(9x+4y)(3x-2y)

✓ Correct Answer: A(3x+2y)(9x^2-6xy+4y^2)

(3x)^3 + (2y)^3 = (3x+2y)((3x)^2 - (3x)(2y) + (2y)^2).

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