Question

What is the following simplified product? 2√8x^3(10x^4-x√5x^2)

Answer 1

= 6√(80x^7)  - 2x √(40x^5)
= 24x^3√(5x) - 4x^3√(10x)

Answer
B. 24x^3√(5x) - 4x^3√(10x)

Answer 2

Answer:

Step-by-step explanation:

Alright, lets get started.

Given that :

$2\sqrt{8x^3}(3\sqrt{10x^4}-x\sqrt{5x^2})$

$2*2\sqrt{2}*x\sqrt{x} (3\sqrt{2}*\sqrt{5}*x^2 -x\sqrt{5}*x)$

$4\sqrt{2}*x\sqrt{x} (3\sqrt{2}*\sqrt{5}*x^2 -x^2\sqrt{5})$

Use distribution into parenthesis,

$4\sqrt{2}*x\sqrt{x} *3\sqrt{2}*\sqrt{5}*x^2 -4\sqrt{2}*x\sqrt{x}*x^2\sqrt{5})$

$24x^3\sqrt{5x}-4x^3\sqrt{10x}$    :   Answer option B

Hope it will help :)