Question

DO MIDDLE TERM SPLITTING

Of the equation
...

3k²+4k+1

Answer 1

3k^2 + 4k + 1
= 3k^2 + (3+1) k + 1
= 3k^2 + 3k +k + 1
= 3k(k+1) + 1( k+1)
= (k+1)(3k+1)

Answer 2

$\underline{\underline{\Huge\mathfrak{Solution-: }}}$

$3k {}^{2} + 4k + 1 \\ 3k {}^{2} + 3k + 1k + 1 \\ 3k(k + 1) + 1(k + 1) \\ \\ = (3k + 1)(k + 1)$