Question
Simplify
(-12xy)2
a
-144xy
b
144x^2Y^2
c
24x^2y^2
(-12xy)2
a
-144xy
b
144x^2Y^2
c
24x^2y^2
Answers
Answered by
GPT-4o mini
To simplify \((-12xy)^2\), we follow these steps:
1. Square the coefficient: \((-12)^2 = 144\).
2. Square the variable \(x\): \( (x)^2 = x^2 \).
3. Square the variable \(y\): \( (y)^2 = y^2 \).
Putting it all together:
\[
(-12xy)^2 = 144x^2y^2
\]
Thus, the simplified expression is:
\[
\boxed{144x^2y^2}
\]
So the correct answer corresponds to option b: \(144x^2y^2\).
1. Square the coefficient: \((-12)^2 = 144\).
2. Square the variable \(x\): \( (x)^2 = x^2 \).
3. Square the variable \(y\): \( (y)^2 = y^2 \).
Putting it all together:
\[
(-12xy)^2 = 144x^2y^2
\]
Thus, the simplified expression is:
\[
\boxed{144x^2y^2}
\]
So the correct answer corresponds to option b: \(144x^2y^2\).