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What is the following product?

(x StartRoot 7 EndRoot minus 3 StartRoot 8 EndRoot) (x StartRoot 7 EndRoot minus 3 StartRoot 8 EndRoot)
7 x squared + 72
7 x squared minus 12 x StartRoot 14 EndRoot + 72
7 x squared minus 12 x StartRoot 14 EndRoot minus 72
7 x squared minus 72

Respuesta :

Answer:

Step-by-step explanation:

the correct answer is B on Edgen. :)

Following are the calculation to the given expression:

Given:

[tex]\to (x\sqrt{7}-3 \sqrt{8}) (x\sqrt{7}-3 \sqrt{8})[/tex]

To find:

product=?

Solution:

[tex]\to (x\sqrt{7}-3 \sqrt{8}) (x\sqrt{7}-3 \sqrt{8}) \\\\\to (x\sqrt{7})^2 -(3 \sqrt{8} \times x\sqrt{7} ) -( (3 \sqrt{8}\times x\sqrt{7}) -(3 \sqrt{8})^2)\\\\\to 7x^2 -(6x\sqrt{2 \times 7}) - (6\sqrt{2\times 7} -24)\\\\\to 7x^2 -6x\sqrt{2 \times 7} - 6 \sqrt{2\times 7} +24\\\\\to 7x^2 -12x\sqrt{14} +24\\\\[/tex]

Therefore, the final answer is "[tex]\bold{7x^2 -12x\sqrt{14} +24}\\\\[/tex]".

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