Answer:
24x^2√5x - 4x^2√10x; Option A
Explanation:
See procedure below;
2√8x^3 * ( 3√10x^4 - x√5x^2 ), ⇒ Distribute the 2√8x^3 to terms in ( ) ,
( 6√8 * 10 * x^3 + 4 ) - ( 2x√ 8 * 5 * x^3 + 2 ), ⇒ Simplify,
6√80x^7 - 2x√40x^5, ⇒ Simplify further, taking values in the √ out,
( 6√4 * 4 * 5 * x^2 * x^2 * x^2 * x ) - ( 2x√4 * 2 * 5 * x^2 * x^2 * x ),
( 6 * 2 * 2 * x * x * x√5x ) - ( 2 * 2 * x * x√10x ),
( 24x^3√5x ) - ( 4x^2√10x ),
Answer : 24x^2√5x - 4x^2√10x; Option A