Question

factorise it a⁴+ 3a³+2ab+6b​

Answer 1

Step-by-step explanation:

=a⁴+ 3a³+2ab+6b​

=a^3( a+3)+2b(a+3)

=(a+3)(a^3+2b)

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Answer 2

Step-by-step explanation:

$\color{blue} {a}^{4} + 3 {a}^{3} + 2ab + 6b \\ \color{blue} = {a}^{3} (a + 3) + 2b(a + 3) \\ \color{blue} = ( {a}^{3} + 2b)(a + 3) \\ \color{blue} {a}^{3} + 2b = 0 \: \: \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: \: a + 3 = 0 \\ \color{blue} 2b = - {a}^{3}\: \: \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: \: \boxed{a = - 3} \\ \color{blue} 2b = - {(3)}^{3} \: \: \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: \: \boxed{a = - 3} \\ \color{blue} \boxed{b = - \frac{ 27}{2} } \: \: \: \: \: \: \: \: \: \: \: \: and \: \: \: \: \: \: \: \: \: \: \boxed{a = - 3} \\ \\ \red{\mathfrak{ \large{\underline{{Hope \: It \: Helps \: You}}}}} \\ \blue{\mathfrak{ \large{\underline{{Mark \: Me \: Brainliest}}}}}$