Jambmaths question:
Factorize $2{{y}^{2}}-15xy+18{{x}^{2}}$
Option A:
$(2y-3x)(y-6x)$
Option B:
$(2y+3x)(y-6x)$
Option C:
$(3y+2x)(y-2x)$
Option D:
$(2y-3x)(y+6x)$
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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