Question

1. Simplify the following (4m+5n)² + (5m³+4n) + (4m³+5n) - (4m-5n)​

Answer 1

( 4m + 5n ) ² + ( 5m³ + 4n ) + ( 4m³ + 5n ) - ( 4m - 5n )

For first term , using the identity

❥ ( a + b ) ² = a² + 2ab + b²

(4m)² + 2 x 4m x 5n + (5n)²

16m² + 40mn + 25n²

Now , 16m² + 40mn + 25n² + 5m³ + 4n + 4m³ + 5n - 4m + 5n

Answer ➡ 9m³ + 16m² + 25n² + 40mn - 4m + 14n

Answer 2

Answer:

Step-by-step explanation:

(4m+5n)² + (5m³+4n) + (4m³+5n) - (4m-5n)​

= (16m² + 40mn + 25n²)(Identity) + (5m³+4n) + (4m³+5n) - (4m-5n)​

= 16m² + 40mn + 25n² + 5m³+ 4n + 4m³+5n - 4m-5n

= 16m² + 40mn + 25n² + 5m³+ 4m³ + 4n + 5n - 5n - 4m

= 16m² + 40mn + 25n² + 9m³ + 4n - 4m

Hope it helps