Question

Divide 6X square plus X -15 by 2 X -3

Answer 1

Answer:

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Answer 2

$\huge{\color{blue}{\underline{\underline{Solution:-}}}}$

$\bf \dfrac{6x^{2}+x-15 }{2x-3}$

$\textbf (By \: middle\:term\: splitting)$

$\bf:\implies{ \dfrac{6x^{2}-9x+10x-15 }{2x-3}}$

$\bf:\implies{ \dfrac{(6x^{2}-9x)+(10x-15 )}{2x-3}}$

$\bf:\implies{ \dfrac{3x(2x-3)+5( 2x-3)}{2x-3}}$

$\bf:\implies{ \dfrac{(3x+5)( 2x-3)}{2x-3}}$

$\bf:\implies{ \dfrac{(3x+5)(\cancel {2x-3)}}{\cancel {2x-3}}}$

$\bf:\implies{\underline{\boxed{\pink{3x+5}}}}$