Math, asked by s12337, 9 months ago

3x²+2√15 xy+5y² factorise​

Answers

Answered by Amanutkarsh
1

 {3x}^{2}  + 2 \sqrt{15} xy +  {5y}^{2}  \\  {( \sqrt{3} x)}^{2}  + 2( \sqrt{5}y )( \sqrt{3}x ) +  {( \sqrt{5} y)}^{2}  \\  {[ \sqrt{3}x +  \sqrt{5}y  ]}^{2}

Answered by Anonymous
0

3 {x}^{2}  +  \sqrt{15} xy +  \sqrt{15} xy + 5 {y}^{2}  \\  \\  =  >  \sqrt{3} x( \sqrt{3} x +  \sqrt{5} y) +  \sqrt{5} y( \sqrt{3} x +  \sqrt{5} y) \\  \\  =  > ( \sqrt{3} x +  \sqrt{5}y)( \sqrt{3} x +  \sqrt{5}  y) \\  \\  =  >  {( \sqrt{3}x +  \sqrt{5}y)  }^{2}

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