Question

What is the following simplified product? Assume x greater-than-or-equal-to 0

2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Superscript 4 Baseline EndRoot minus x StartRoot 5 x squared EndRoot)

Answer 1

Answer:

StartRoot 6 x squared EndRoot + 4 StartRoot 8 x cubed EndRoot) (StartRoot 9 x EndRoot minus x StartRoot 5 x Superscript 5 Baseline)

A. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared + 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

B. 3 x StartRoot 6 x EndRoot + x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot + 8 x Superscript 5 Baseline StartRoot 10 EndRoot

C. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 EndRoot

D. 3 x StartRoot 6 x EndRoot minus x Superscript 4 Baseline StartRoot 30 x EndRoot + 24 x squared StartRoot 2 x EndRoot minus 8 x Superscript 5 Baseline StartRoot 10 x EndRoot

Answer 2

The simplified product of the expression as given is; Choice A: 24x³√5x - 4x²√10x

First, we must expand the parenthesis as follows;

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

In essence; we have;

• 6√80x⁷ - 2x√40x⁵

• 6√80x⁷ - 2x√40x⁵= 24x³√5x - 4x²√10x

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