Question
\( (x-0.4)(x+0.4) \) The answer is \( \square \) (Type the terms in descending order.)
Ask by Carrillo Fitzgerald.
Feb 17,2025 11:24
UpStudy AI Solution
Tutor-Verified Answer
Answer
\( x^2 - 0.16 \)
Solution
Calculate or simplify the expression \( (x-0.4)(x+0.4) \).
Calculate or simplify the expression \( (x-0.4)(x+0.4) \).
Simplify the expression by following steps:
- step0: Simplify:
\(\left(x-0.4\right)\left(x+0.4\right)\)
- step1: Multiply the expression:
\(5^{-2}\left(25x^{2}-4\right)\)
- step2: Rearrange the terms:
\(x^{2}-\frac{4}{25}\)
The expanded form of the expression \( (x-0.4)(x+0.4) \) is \( x^2 - \frac{4}{25} \).
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Simplify this solution Beyond the Answer
To expand \( (x-0.4)(x+0.4) \), we can use the difference of squares formula, which states that \( (a-b)(a+b) = a^2 - b^2 \). Here, \( a = x \) and \( b = 0.4 \). So, we find:
\[
(x-0.4)(x+0.4) = x^2 - (0.4)^2 = x^2 - 0.16.
\]
The answer is \( x^2 - 0.16 \).
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