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

Explanation:

Alright, lets get started.

Given that :

`2√(8x^3)(3√(10x^4)-x√(5x^2))`

`2*2√(2)*x√(x) (3√(2)*√(5)*x^2 -x√(5)*x)`

`4√(2)*x√(x) (3√(2)*√(5)*x^2 -x^2√(5))`

Use distribution into parenthesis,

`4√(2)*x√(x) *3√(2)*√(5)*x^2 -4√(2)*x√(x)*x^2√(5))`

`24x^3√(5x)-4x^3√(10x)` : Answer option B

Hope it will help :)