Question

Simplify. (5x4 + 3)2 A. 25x8 + 30x4 + 9 B. 10x8 + 30x4 + 6 C. 25x16 + 30x4 + 9 D. 25x8 + 9​

Answer 1

The answer is option A

Explanation:

( 5x⁴ + 3)²

( 5x⁴ + 3)(5x⁴ + 3)

Expand using FOIL

That's

(5x⁴)(5x⁴) + 5x⁴(3) + 3(5x⁴) + 3(3)

We have

`25 {x}^(8) + {15x}^(4) + {15x}^(4) + 9`

Add and simplify like terms

We have the final answer as

`{25x}^(8) + {30x}^(4) + 9`

Hope this helps you