Question

(x2 - 3x)(x2 - 3x-1)-20​

Answer 1

$\huge \boxed{ \fcolorbox{cyan}{grey}{Answer : }}$

$\bf{ \boxed{ \underline \blue{ \tt{( {x}^{2} - 3x - 5) \: ( {x}^{2} - 3x + 4 \: }}}}$

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$\sf \huge \underline{Question}$

$\rm{( {x}^{2} - 3x)( {x}^{2} - 3x - 1) - 20}$

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$\sf \underline{step \: by \: step \: explanation}$

$\tt \implies \red{take \: {x}^{2} - 3x = 2}$

Now use the expression:

$\tt \implies \pink{(a) \: (a - 1) - 20}$

$\tt \implies \blue{ {a}^{2} - 1a - 20}$

$\bf{ \boxed{ \underline{ \red{ \tt{note = - 20 = - 5 + 4 \: }}}}}$

$\tt \implies \orange{ {a}^{2} - 5a + 4a - 20}$

$\tt \implies \purple{a(a - 5) + 4(a - 5)}$

$\tt \implies \green{(a - 5) \: (a + 4)}$

$\tt \implies \red{put \: the \: value \: a = {x}^{2} - 3x}$

now,

$\tt \implies{( {x}^{2} - 3x - 5) \: ( {x}^{2} - 3x + 4)}$