Math, asked by sadakata717, 9 months ago

factorize:
$150 - 7y {}^{2}$

Answers

Answered by Mihir1001

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

$\huge\boxed{(5 \sqrt{6} - \sqrt{7} y )(5 \sqrt{6} + \sqrt{7} y )}$

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

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

$150 - 7 {y}^{2}$

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

Factors

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

Factorisation

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

We already have,

$\longmapsto 150 - 7 {y}^{2}$

$= (25 \times 6) - (7 {y}^{2} )$

$= ( {(5)}^{2} \times {( \sqrt{6} )}^{2} ) - {( \sqrt{7} y)}^{2}$

$= {(5 \sqrt{6} )}^{2} - {( \sqrt{7} y)}^{2}$

$= (5 \sqrt{6} - \sqrt{7} y)(5 \sqrt{6} + \sqrt{7} y)$

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

$\large\boxed{150 - 7 {y}^{2} \: = \: (5 \sqrt{6} - \sqrt{7} y )(5 \sqrt{6} + \sqrt{7}y )}$

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factorize:
$150 - 7y {}^{2}$