Math, asked by Sonalistar3173, 10 months ago

Factorise x^2-25+66 by mid term splitting method

Answers

Answered by Mihir1001

$\huge{\underline{\mathfrak{\textcolor{blue}{Answer :}}}}$

$\huge\boxed{\fcolorbox{red}{#ffdfff}{(x - 3)(x - 22)}}$

$\LARGE{\underline{\mathrm{\textcolor{red}{Step-by-step \: \: explanation :}}}}$

$\LARGE{\underline{\mathtt{\textcolor{violet}{Given :-}}}}$

${x}^{2} - 25x + 66$

$\LARGE{\underline{\mathtt{\textcolor{green}{To \: \: find :-}}}}$

factors of the polynomial.

$\LARGE{\underline{\mathtt{\textcolor{teal}{Concept \: \: used :-}}}}$

Middle-term splitting

$\LARGE{\underline{\mathtt{\textcolor{blue}{Solution :-}}}}$

We have,

${x}^{2} - 25x + 66$

$= {x}^{2} - (3 + 22)x + 66$

$= {x}^{2} - 3x - 22x + 66$

$= x(x) - x(3) - 22(x) - 22( - 3)$

$= x(x - 3) - 22(x - 3)$

$= (x - 3)(x - 22)$

$\LARGE{\underline{\mathtt{\textcolor{magenta}{Conclusion :-}}}}$

${x}^{2} - 25x + 66 = (x - 3)(x - 22)$

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Answered by brainlyuser00732

I think the question sould be x^2-25x+66, then the answer is,

x²-25x+66

=>x²-22x-3x+66

=>x(x-22)-3(x-22)

=>(x-3)(x-22)

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