Question

(25 x² + 30 xy +9y2) - 121²​

Answer 1

$(25x^{2} + 30xy + 9y^{2}) - 121^{2} \\=[(5x)^{2} + 2\times 5x \times 3y + (3y)^{2}]- 121^{2} \\=(5x + 3y)^{2} - 121^{2} \\= ( 5x + 3y + 121 )( 5x + 3y - 121 )$

$\boxed { \pink { a^{2} - b^{2} = ( a + b )( a - b )}}$

Therefore.,

$\red { (25x^{2} + 30xy + 9y^{2}) - 121^{2}}$

$\green { = ( 5x + 3y + 121 )( 5x + 3y - 121 )}$

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