Question 14

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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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