Question

How do you multiply and simplify 6ab(−10a2b3+c5)?

Answer 1

Answer : $- 360 \: a {}^{2} b {}^{2} + 30 \: abc$

Step by step explanation :

$6 \: ab( - 10a \times 2b \times 3 + c \times 5)$

Calculate the product.

$= > 6 \: ab \times ( - 60 \: ab + c \times 5)$

Use the commutative property to reorder the terms.

$= > 6 \: ab \times ( - 60 \: ab + 5c)$

Distribute 6ab through the parenthesis. Multiply each term in the parenthesis by 6ab.

$= > - 6 \: ab \times 60 \: ab + 6 \: ab \times 5c$

Calculate the product.

$= > - 360 \: a {}^{2} b {}^{2} + 6 \: ab \times 5c$

Calculate the product.

$= > - 360 \: a {}^{2} b {}^{2} + 30 \: abc$