Question

find the value of the expression 9x⁴ + 4y⁴ + 12x²y², when x=3 and y=4.​ ​

Answer 1

Answer:

9×81+4×256+12×9×16

729+1024+1772=3525

Answer 2

Solution:

Given expression:

=> 9x⁴ + 4y⁴ + 12x²y²

Now, it is given in question x = 3 and y = 4.

Now, put the value of x and y in given expression.

=> 9x⁴ + 4y⁴ + 12x²y²

=> 9(3)⁴ + 4(4)⁴ + 12(3)²(4)²

=> 9 × 81 + 4 × 256 + 12 × 9 × 16

=> 729 + 1024 + 1728

=> 3481

Hence, the value of expression 9x⁴ + 4y⁴ + 12x²y², when x = 3 and y = 4 is 3481.