Math, asked by sadakata717, 8 months ago

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


Answers

Answered by Mihir1001
2

\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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