Question
Expression: -4x³(5x²+2)
Simplified form: □
Simplified form: □
Answers
GPT-4o mini
To simplify the expression \(-4x^3(5x^2 + 2)\), you need to distribute \(-4x^3\) to both terms inside the parentheses.
1. Multiply \(-4x^3\) by \(5x^2\):
\[
-4x^3 \cdot 5x^2 = -20x^{3+2} = -20x^5
\]
2. Multiply \(-4x^3\) by \(2\):
\[
-4x^3 \cdot 2 = -8x^3
\]
Now, combine the results:
\[
-20x^5 - 8x^3
\]
Thus, the simplified form of the expression is:
\[
\boxed{-20x^5 - 8x^3}
\]
1. Multiply \(-4x^3\) by \(5x^2\):
\[
-4x^3 \cdot 5x^2 = -20x^{3+2} = -20x^5
\]
2. Multiply \(-4x^3\) by \(2\):
\[
-4x^3 \cdot 2 = -8x^3
\]
Now, combine the results:
\[
-20x^5 - 8x^3
\]
Thus, the simplified form of the expression is:
\[
\boxed{-20x^5 - 8x^3}
\]