Question

Resolve into factors: x(x + 6) – 2(x + 6)​

Answer 1

$\huge\color{pink}{Answer} \\ \color{purple}{⇝First \: we \: have \: to \: distribute \: the \: terms : - } \\ x(x + 6) - 2(x + 6) \\ {x}^{2} + 6 - 2x - 12 \\ \color{purple}{↭Then \: after \: combining \: the \: like \: terms, \: we \: get : - } \\ {x}^{2} + 6x - 2x - 12 \\ {x}^{2} + 4x - 12 \\ \color{purple}{↬Now, \: we \: use \: the \: sum - product \: pattern \: to \: get : - } \\ x(x + 6) - 2(x + 6) \\ {x}^{2} + 6x - 2x - 12 \\ \color{purple}{↝Taking \: the \: common \: factor \: for \: these \: pairs : - } \\ {x}^{2} + 6x - 2x - 12 \\ x(x + 6) - 2(x + 6) \\ \color{purple}{ ↛Now \: just \: rewrite \: them \: in \: factored \: form : - } \\ x(x + 6) - 2(x + 6) \\ (x - 2)(x + 6) \\ \color{lightblue}{Hence, \: the \: factors \: are \: (x - 2)(x + 6)}$

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$\color{pink}{Hope\: this \:helps, \:Thank\: you..!! ~ }$