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madreJ [45]
3 years ago
11

Send it quick guys...

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

Answer:

194

Step-by-step explanation:

Recall 2 rules to solve this easily:

1. (a+b)^2=a^2+2ab+b^2

2. (a-b)^2=a^2-2ab+b^2

<em>Now, if we let a = 7  and  b=4\sqrt{3}, we can say the problem is basically of the form:</em>

(a+b)^2 + (a-b)^2

This can be simplified using the rules:

(a+b)^2 + (a-b)^2\\a^2+2ab+b^2+a^2-2ab+b^2\\2a^2+2b^2

Now we can plug the values of a and b we initially thought of (remember though  \sqrt{x} \sqrt{x} =x):

2a^2+2b^2\\2(7)^2+2(4\sqrt{3})^2\\ 2(49)+2(4\sqrt{3})(4\sqrt{3})\\98+2(4)(4)(\sqrt{3} )(\sqrt{3} )\\98+2(4)(4)(3)\\98+96 \\194

194 is the final answer.

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