Question

4x^3 y(-2x^2 y)

-8x 6 y

-8x 5 y

-8x 5 y 2

2x 5 y 2

Answer 1

`\boxed{\bold{-8x^5y^2}}`

Step By Step Explanation:

Remove Parenthesis: (a) = a

`\bold{-4x^3y\cdot \:2x^2y}`

Multiply:
`\bold{4 \ \cdot \ 2 \ = \ 8}`

`\bold{-8x^3x^2yy}`

Apply Exponent Rule
`\bold{\:a^b\cdot \:a^c=a^(b+c): \ x^3x^2=\:x^(3+2)=\:x^5}`

`\bold{-8x^5yy}`

Apply Exponent Rule:
`\bold{yy=\:y^(1+1)=\:y^2}`

`\bold{-8x^5y^2}`