Jambmaths question:
Factorize completely $4{{u}^{2}}-36uv-uv+9{{v}^{2}}$
Option A:
$(4u+v)(u+9v)$
Option B:
$(4u+v)(u-9v)$
Option C:
$(4u-v)(u-9v)$
Option D:
$(4u-v)(u+9v)$
Jamb Maths Solution:
$\begin{align} & 4{{u}^{2}}-36uv-uv+9{{v}^{2}}=4u(u-9v)-v(u-9v) \\ & 4{{u}^{2}}-36uv-uv+9{{v}^{2}}=(4u-v)(u-9v) \\\end{align}$
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