Factorize 5y2 + 2ay - 3a2

Assessment: WAEC SSCE - General Mathematics - 2008 (Objective) Subject: General Mathematics

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Factorize 5y2 + 2ay - 3a2

Answer Details
To factorize 5y^2 + 2ay - 3a^2, we need to find two numbers that multiply to give -15a^2 and add up to 2a. These numbers are 5a and -3a. We can then rewrite the expression as: 5y^2 + 5ay - 3ay - 3a^2 Factorising by grouping: (5y^2 + 5ay) - (3ay + 3a^2) Factorising out the common factor in each group: 5y(y + a) - 3a(y + a) Factorising out the common factor (y + a): (5y - 3a)(y + a) Therefore, the answer is (5y - 3a)(y + a).
Read lesson note on Algebraic Expressions (WAEC)
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