Evaluate the algebraic expression

MathematicsAlgebraic IdentitiesEasy

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5. $3573 \cdot 3581 - 3577^2$ ifadəsinin qiymətini hesablayın. A) $-4$ B) $-16$ C) $-196$ D) $-484$ E) $-6748$

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Step 1

Hi Gülay, let's calculate the value of this expression together.

Calculation

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Step 2

We need to compute three thousand five hundred seventy-three times three thousand five hundred eighty-one minus three thousand five hundred seventy-seven squared.

$$3573 \cdot 3581 - 3577^2$$
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Step 3

Notice that both numbers are close to three thousand five hundred seventy-seven. Let's call this value x.

$$x = 3577$$
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Step 4

We can rewrite three thousand five hundred seventy-three as x minus four, and three thousand five hundred eighty-one as x plus four.

$$(x - 4)(x + 4) - x^2$$

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About This Question

Subject
Mathematics
Topic
Algebraic Identities
Difficulty
Easy
Question Type
Multiple Choice

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