Question

Find the square of (6 x square-5 y square) by using identity

Answer 1

Answer:

36 x⁴ - 60 x² y² + 25 y⁴

Step-by-step explanation:

To find---> ( 6x² - 5y² )²

Solution----> We have an identity, as follows,

( a - b )² = a² + b² - 2ab

Now we have to find value of,

( 6x² - 5y² )² = ( 6 x² )² - 2 ( 6x² ) ( 5y² ) + ( 5y² )²

= ( 6 )² ( x² )² - 2×6×5 x² y² + ( 5 )² ( y² )²

= 36 x⁴ - 60 x²y² + 25 y⁴

Additional information--->

1) ( a + b )² = a² + b² + 2ab

2) ( a - b )² = a² + b² - 2ab

3) ( a + b )³ = a³ + b³ + 3ab ( a + b )

4) ( a - b )³ = a³ - b³ - 3ab ( a - b )

5) a³ + b³ = ( a + b ) ( a² + b² - ab )

6) a³ - b³ = ( a - b ) ( a² + b² + ab )

7) a³ + b³ = ( a + b ) ( a² + b² - ab )

8) ( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca

9) a² - b² = ( a + b ) ( a - b )

10) ( x + a ) ( x + b ) = x² + ( a + b ) x + ab

#Answerwithquality

#BAL

Answer 2

$<font color =“orange”>$

${ \huge \bf{ \mid{ \overline{ \underline{Answer}}} \mid}}$

$30x {}^{4} - 60x {}^{2} y {}^{2} + 25y {}^{2}$

#answerwithquality #bal