Multiply the following. $$ -6 a^{2} b\left(2 b^{2}-5 b+19\right) $$

Question

UpStudy AI · Accepted Answer

$$ -6 a^{2} b \left(2b^{2} - 5b+ 19\right) $$

Multiply $$ -6a^{2}b $$ by each term in the parentheses:

1. Multiply by $$ 2b^{2} $$:
$$
-6a^{2}b \cdot 2b^{2} = -12a^{2}b^{3}
$$

2. Multiply by $$ -5b $$:
$$
-6a^{2}b \cdot (-5b) = 30a^{2}b^{2}
$$

3. Multiply by $$ 19 $$:
$$
-6a^{2}b \cdot 19 = -114a^{2}b
$$

Thus, the expanded form is:
$$
-12a^{2}b^{3} + 30a^{2}b^{2} - 114a^{2}b
$$
$$ -12a^{2}b^{3} + 30a^{2}b^{2} - 114a^{2}b $$

Multiply the following. \[ -6 a^{2} b\left(2 b^{2}-5 b+19\right) \]