Factorize 32x3 - 8xy2

Assessment: WAEC SSCE - General Mathematics - 1996 (Objective) Subject: General Mathematics

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Factorize 32x3 - 8xy2
Answer Details
We can factorize the given expression by first finding the greatest common factor (GCF) of the two terms, which is 8x. We can factor out the GCF from the given expression as: 32x3 - 8xy2 = 8x(4x2 - y2) We can then use the identity a2 - b2 = (a + b)(a - b) to factorize the expression further: 8x(4x2 - y2) = 8x(2x + y)(2x - y) Therefore, the fully factorized form of 32x3 - 8xy2 is 8x(2x + y)(2x - y). So, the correct option is: - 8x(2x + y)(2x - y)
Read lesson note on Polynomials (JAMB)
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