Question

Find the missing term in the following a perfect squares.
1 ) 9m^2-( ) +64n^2
2) ( ) + 48x + 64
3 ) 25a^2+120ab+( )
4) ( ) - 90 xy + 81y ^2
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Answer 1

Solution :

Case 1 :-

➨ 9m² - 48mn + 64n²

➨ ( 3m )² - 2 * 3m * 8n + ( 8n )²

➨ (3m - 4n )²

Case 2 :-

➨ 9x² + 48x + 64

➨ ( 3x )² + 2 * 3x * 8 + ( 8 )²

➨ ( 3x + 8 )²

Case 3 :-

➨ 25a² + 120ab + 144b²

➨ ( 5a )² + 2 * 5a * 12b + ( 12b )²

➨ ( 5a + 12b )²

Case 4 :-

➨ 25x² - 90xy + 81y²

➨ ( 5x )² - 2 * 5x * 9y + ( 9y )²

➨ ( 5x - 9y )²

Identity Used :

➨ ( a + b )² = a² + 2ab + b²

➨ ( a - b )² = a² - 2ab + b²

Answer 2

Answer:

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