What is the following simplified product? Assume x 0
(10x* _ x/5x² (2√15x² + √3x3)
O 10x4 V6 + x3 30x - 10x4 +3+ x2 V15x
O 10x4 V6 + x3 30x – x4 375 + x2 15
O 10x4 V6 + x3 30x - 10x4 13 - x? 15
O 10x4 V6 + x3 30x - 10x4 13 - V15%
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Answer:

[tex]10x^4 \sqrt{6} + x^3\sqrt{30x} - 10x^4\sqrt{3} - x^3\sqrt{15x}[/tex]

Step-by-step explanation:

Given the product:

[tex](\sqrt{10x^4} - x\sqrt{5x^2}) (2\sqrt{15x^4} + \sqrt{3x^3})[/tex]

Applying distributive property:

[tex]2\sqrt{150x^8} + \sqrt{30x^7} - 2x\sqrt{75x^6} - x\sqrt{15x^5}[/tex]

[tex]2\sqrt{25 \cdot 6} \sqrt{x^8} + \sqrt{30x} \sqrt{x^6} - 2x\sqrt{25 \cdot 3} \sqrt{x^6} - x\sqrt{15x} \sqrt{x^4}[/tex]

[tex]10x^4 \sqrt{6} + x^3\sqrt{30x} - 10x^4\sqrt{3} - x^3\sqrt{15x}[/tex]

Answe4

 

Given the product:

Applying distributive property:

Step-by-step explanation: