Question
Expression: 8x³(3x-4)
Simplified form: □
Simplified form: □
Answers
GPT-4o mini
To simplify the expression \( 8x^3(3x - 4) \), you distribute \( 8x^3 \) to each term inside the parentheses:
1. Multiply \( 8x^3 \) by \( 3x \):
\[
8x^3 \cdot 3x = 24x^4
\]
2. Multiply \( 8x^3 \) by \( -4 \):
\[
8x^3 \cdot -4 = -32x^3
\]
Now, combine the results:
\[
8x^3(3x - 4) = 24x^4 - 32x^3
\]
Thus, the simplified form of the expression is:
\[
\boxed{24x^4 - 32x^3}
\]
1. Multiply \( 8x^3 \) by \( 3x \):
\[
8x^3 \cdot 3x = 24x^4
\]
2. Multiply \( 8x^3 \) by \( -4 \):
\[
8x^3 \cdot -4 = -32x^3
\]
Now, combine the results:
\[
8x^3(3x - 4) = 24x^4 - 32x^3
\]
Thus, the simplified form of the expression is:
\[
\boxed{24x^4 - 32x^3}
\]