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eduard
2 years ago
8

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

Mathematics
2 answers:
andreev551 [17]2 years ago
8 0

Answer:

Option C is correct.

Step-by-step explanation:

We have to simplify the product of  

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

= (\sqrt{6x^{2}} + 4\sqrt{8x^{3}})(\sqrt{9x} - x\sqrt{5x^{5}})

= (\sqrt{6x^{2}} + \sqrt{128x^{3}})(\sqrt{9x} - \sqrt{5x^{7}})

= \sqrt{54x^{3}} - \sqrt{30x^{9}} + \sqrt{1152x^{4}} - \sqrt{640x^{10}}

= 3x\sqrt{6x} - x^{4}\sqrt{30x} + 24x^{2}\sqrt{2} - 8x^{5}\sqrt{10}

=  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

Therefore, option C is correct. (Answer)

Lisa [10]2 years ago
5 0

Answer:

this is incorrect, option A is the correct answer. i just took it.

Step-by-step explanation:

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Please note the { are supposed to span over both equations but it interfaces doesn't  allow it. Please see attachment for clarification.

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