10
QuizMultiple Choice

Polynomial Expressions — Test

Question 10 • Geometry: Concepts and Connections

Which expression is equivalent to open paren 4 x to the 5th power plus 11 close paren squared ?

Answer
A
16 x to the 10th power plus 88 x to the 5th power plus 121
B
16 x to the 25th power plus 88 x to the 5th power plus 121
C
16 x to the 5th power plus 121
D
16 x to the 10th power plus 121

Explanation

Use the square-of-a-sum rule: (a + b)² = a² + 2ab + b². Here, a = 4x⁵ and b = 11, so the expression becomes (4x⁵)² + 2(4x⁵)(11) + 11² = 16x¹⁰ + 88x⁵ + 121. Therefore, the equivalent expression is 16x¹⁰ + 88x⁵ + 121.

AI-written and checked against the verified answer.

Previous
Next