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Nady [450]
3 years ago
10

Which is equivalent?

Mathematics
1 answer:
olga_2 [115]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Given

\frac{x}{\sqrt{2} }

Multiply numerator/ denominator by \sqrt{2} to rationalise the denominator

= \frac{x\sqrt{2} }{\sqrt{2}(\sqrt{2})  }

= \frac{x\sqrt{2} }{2} → A

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Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she
sergiy2304 [10]

Answer:

Jenny is wrong the correct answer is x²+ 4 - 4 x.

Step-by-step explanation:

Given that

(x-2)³∕x-2

(x-2)³∕(x-2) =(x-2) (x-2)²∕(x-2)

(x-2)³∕(x-2) = (x-2)²

As we know that

(a-b)² = a²+b² - 2 ab

So

(x-2)² = x²+ 2² - 2 ˣ 2 ˣ x =  x²+ 4 - 4 x

(x-2)² =  x²+ 4 - 4 x

It means that

(x-2)³∕(x-2) = (x-2)² =  x²+ 4 - 4 x

So Jenny is wrong the correct answer is x²+ 4 - 4 x.

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