Question 4

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Jambmaths question: 

Factorize $2{{y}^{2}}-15xy+18{{x}^{2}}$

Option A: 

$(2y-3x)(y-6x)$

Option B: 

$(2y-3x)(y+6x)$

Option C: 

$(2y+3x)(y-6x)$

Option D: 

$(3y+2x)(y-6x)$

Jamb Maths Solution: 

$\begin{align}  & 2{{y}^{2}}-15xy+18{{x}^{2}}=2{{y}^{2}}-12xy-3xy+18{{x}^{2}} \\ & 2{{y}^{2}}-15xy+18{{x}^{2}}=2y(y-6x)-3x(y-6x) \\ & 2{{y}^{2}}-15xy+18{{x}^{2}}=(2y-3x)(y-6x) \\\end{align}$

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