Question

What is the following product? Assume x greater-than-or-equal-to 0 (4 x StartRoot 5 x squared EndRoot + 2 x squared StartRoot 6 EndRoot) squared 80 x Superscript 4 Baseline + 8 x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x Superscript 4 80 x Superscript 6 Baseline + 8 x Superscript 5 Baseline + 8 x Superscript 5 Baseline StartRoot 30 EndRoot + 24 x Superscript 4 104 x Superscript 4 104 x Superscript 4 + 16 x Superscript 4 Baseline StartRoot 30 EndRoot

Answer 1

D

Explanation:

Answer 2

D

Explanation:

(4x√5x^2 +2x^2√6)^2

remove the last ^2 by multiplying the parenthesis by each other:

(4x√5x^2 +2x^2√6) * (4x√5x^2 +2x^2√6)

use FOIL & distribute :

4x√5x(4x√5x +2x^2√6) +2x^2√6(4x√5x +2x^2√6)

apply the distributive property once more:

4x^2√5(4x^2√5)+ 4x^2√5(2x^2√6) + (2x^2√6(4x^2√5) +2x^2√6(2x^2√6)

remove parenthesis and combine like terms to get:

104x^4+16x^4√30

answer is D