Question

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

Answer 1

Answer:

The answer is option A

Step-by-step 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