Question
Simplify the following expressions. Be sure to write your simplified expression in descending order
(8x+2)^2
(8x+2)^2
Answers
GPT-4o mini
To simplify the expression \((8x + 2)^2\), we can use the formula for the square of a binomial, which is \((a + b)^2 = a^2 + 2ab + b^2\).
In this case, let:
- \(a = 8x\)
- \(b = 2\)
Now, applying the formula:
\[
(8x + 2)^2 = (8x)^2 + 2(8x)(2) + (2)^2
\]
Calculating each term:
1. \((8x)^2 = 64x^2\)
2. \(2(8x)(2) = 32x\)
3. \((2)^2 = 4\)
Now, combine these results:
\[
64x^2 + 32x + 4
\]
Thus, the simplified expression in descending order is:
\(\boxed{64x^2 + 32x + 4}\)
In this case, let:
- \(a = 8x\)
- \(b = 2\)
Now, applying the formula:
\[
(8x + 2)^2 = (8x)^2 + 2(8x)(2) + (2)^2
\]
Calculating each term:
1. \((8x)^2 = 64x^2\)
2. \(2(8x)(2) = 32x\)
3. \((2)^2 = 4\)
Now, combine these results:
\[
64x^2 + 32x + 4
\]
Thus, the simplified expression in descending order is:
\(\boxed{64x^2 + 32x + 4}\)