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Citrus2011 [14]
3 years ago
11

What is the correct answer?

Mathematics
1 answer:
lyudmila [28]3 years ago
3 0

Answer:

a= -b+z^6  and b= -a+z^6

Step-by-step explanation:

simplify both sides of the equation then isolate each variable

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Leviafan [203]

Given : The Area of the Rectangle = x⁴ - 100

We know that : (a + b)(a - b) = a² - b²

⇒   x⁴ - 100 can be written as : (x²)² - (10)²

⇒   (x²)² - (10)² can be written as : (x² + 10)(x² - 10)

We know that, Area of a Rectangle is given by : Length × Width

Comparing (x² + 10)(x² - 10) with Area of the Rectangle formula, We can notice that :

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Given : Length of the Rectangle is 20 units more than Width

⇒   Width + 20 = Length

⇒   x² - 10 + 20 = x² + 10

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<u>Answer </u>: x² - 10 represents the width of the rectangle. Because the area expression can be rewritten as (x² - 10)(x² + 10) which equals

(x² - 10)((x² - 10) + 20)

⇒   Option A

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