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(7b^5-b^2)^2=

2 min read Jun 16, 2024
(7b^5-b^2)^2=

Expanding the Square: (7b^5 - b^2)^2

In mathematics, expanding a squared expression means multiplying it by itself. Let's break down the steps to expand (7b^5 - b^2)^2.

Understanding the Concept

The expression (7b^5 - b^2)^2 is equivalent to:

(7b^5 - b^2) * (7b^5 - b^2)

We need to apply the distributive property (or FOIL method) to multiply each term in the first set of parentheses by each term in the second set.

Expanding the Expression

  1. Multiply the first terms: (7b^5) * (7b^5) = 49b^10

  2. Multiply the outer terms: (7b^5) * (-b^2) = -7b^7

  3. Multiply the inner terms: (-b^2) * (7b^5) = -7b^7

  4. Multiply the last terms: (-b^2) * (-b^2) = b^4

Combining Like Terms

Now, we combine the terms we obtained:

49b^10 - 7b^7 - 7b^7 + b^4

Finally, we simplify by combining the like terms:

49b^10 - 14b^7 + b^4

Final Result

Therefore, the expanded form of (7b^5 - b^2)^2 is 49b^10 - 14b^7 + b^4.

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