Math, asked by Anonymous, 5 months ago

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Factorise--7x²-19x-6/7x+2


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Class 8th✔
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Answers

Answered by ADARSHBrainly
13

{\huge{\sf{\red{\underline{\underline{\dag{Answer : \dagger}}}}}}}

 \\  \large { \sf{ \implies{ \frac{ 7x²-19x-6}{7x+2}}}}

Factorising the Polynomial of Numerator:-

 \\  \large { \sf{ \implies{ \frac{ 7x²-21 x + 2x-6}{7x+2}}}}

 \\  \large { \sf{ \implies{ \frac{7x(x - 3) + 2(x - 3)}{7x + 2} }}}

 \\  \large { \sf{ \implies{ \frac{(7x + 2)(x - 3)}{7x + 2} }}}

Cancelling the 7x + 2 :-

 \\  \large { \sf{ \implies{ \frac{ \cancel{(7x + 2)} \:  \: (x - 3)}{ \cancel{{7x + 2} }}}}}

   \\  {\pink{\large{\underline{\boxed{\sf{ \implies{\green{x -3}}}}}}}}

 \\  \large { \sf{ \implies{ \frac{ 7x²-21 x + 2x-6}{7x+2}}}}\\  \large { \sf \\ { \implies{ \frac{ \cancel{(7x + 2)} \:  \: (x - 3)}{ \cancel{{7x + 2} }}}}}\\  \large { \sf{ \implies{ \frac{(7x + 2)(x - 3)}{7x + 2} }}}\\  \large { \sf{ \implies{ \frac{ 7x²-21 x + 2x-6}{7x+}}}}

Value of x is :-

{\sf{\large{\leadsto{x - 3= 0}}}}

   \\  {\pink{\large{\underline{\boxed{\sf{ \implies{\red{x  = 3}}}}}}}}

Answered by Gauri715
2

Answer:

HELLO!!!

Step-by-step explanation:

SOLUTION

Factorise-- \\  \:  7x²-19x-6/7x+2 \\  \:  =  \frac{ 7 {x}^{2}  -( 21 - 2)x - 6}{7x + 2 } \\  =  \frac{ 7 {x}^{2}   -   21x + 2x - 6}{7x + 2 } \\  =  \frac{ 7x(x - 3) + 2(x - 3)}{7x + 2}  \\  =  \frac{ (x - 3)(7x + 2)}{7x + 2} \\  = x - 3

...........hope.....it.......helps.........you

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