Question
expand and simplify
(0.2-x)^2
(0.2-x)^2
Answers
Answered by
GPT-4o mini
To expand and simplify \( (0.2 - x)^2 \), we can use the formula for the square of a binomial, which is:
\[
(a - b)^2 = a^2 - 2ab + b^2
\]
In this case, \( a = 0.2 \) and \( b = x \). Applying the formula:
\[
(0.2 - x)^2 = (0.2)^2 - 2(0.2)(x) + (x)^2
\]
Now calculate each term:
1. \( (0.2)^2 = 0.04 \)
2. \( 2(0.2)(x) = 0.4x \)
3. \( (x)^2 = x^2 \)
Putting it all together, we get:
\[
(0.2 - x)^2 = 0.04 - 0.4x + x^2
\]
Rearranging the terms, we have:
\[
x^2 - 0.4x + 0.04
\]
So, the expanded and simplified form of \( (0.2 - x)^2 \) is:
\[
x^2 - 0.4x + 0.04
\]
\[
(a - b)^2 = a^2 - 2ab + b^2
\]
In this case, \( a = 0.2 \) and \( b = x \). Applying the formula:
\[
(0.2 - x)^2 = (0.2)^2 - 2(0.2)(x) + (x)^2
\]
Now calculate each term:
1. \( (0.2)^2 = 0.04 \)
2. \( 2(0.2)(x) = 0.4x \)
3. \( (x)^2 = x^2 \)
Putting it all together, we get:
\[
(0.2 - x)^2 = 0.04 - 0.4x + x^2
\]
Rearranging the terms, we have:
\[
x^2 - 0.4x + 0.04
\]
So, the expanded and simplified form of \( (0.2 - x)^2 \) is:
\[
x^2 - 0.4x + 0.04
\]