Question

plz ans this question​

Answer 1

$\huge\tt{Answer:-}$

$\bf{To \ Factorise:-}$

$6 {x}^{2} + 11x + 3$

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$6 {x}^{2} + 11x + 3$

$= 6 {x}^{2} + (2 + 9)x + 3$

(After multiplying, 6 with 3 we got 18; Also, 18 = 9 × 2 by Prime Factorisation which suits the above expression)

$= 6 {x}^{2} + 2x + 9x + 3$

$= 2x (3x + 1) + 3(3x + 1)$

$\boxed{= (3x + 1)(2x + 3)}$

∴ ☑ The 1st option is correct.

Answer 2

$\bf {factorise \downarrow }$

$\implies \sf\purple{ {6x}^{2} + 11x + 3 } \\ \implies\sf{ {6x}^{2} + 9x + 2x + 3 } \\ \implies\sf{3x(2x + 3) + 1(2x + 3)} \\ \implies\sf{(3x + 1)(2x + 3)}$

.°. The correct answer is ( 2x + 3 ) ( 3x + 1 )