Jambmaths question:
Factorize completely ${{(4x+3y)}^{2}}-{{(3x-2y)}^{2}}$
Option A:
$(x+5y)(7x+y)$
Option B:
$(x+5y)(7x-y)$
Option C:
$(x-5y)(7x+y)$
Option D:
$(x-5y)(7x-y)$
Jamb Maths Solution:
\[\begin{align} & {{(4x+3y)}^{2}}-{{(3x-2y)}^{2}}=[(4x+3y)-(3x-2y)][(4x+3y)+(3x-2y)] \\ & {{(4x+3y)}^{2}}-{{(3x-2y)}^{2}}=(x+5y)(7x+y) \\\end{align}\]
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