Question

Choose the product. -5p 3(4p 2 + 3p - 1)

Answer 1

The product of the given expression
`-5p^3(4p^2+3p-1)` is
`-20p^5-15p^4+5p^3`

Explanation:

Consider the given expression
`-5p^3(4p^2+3p-1)`

We have to find the product of given expression
`-5p^3(4p^2+3p-1)`

Distributive property :
`a\cdot(b+c)=(a\cdot b)+(a\cdot c)`

Applying distributive property, we get,

`-5p^3(4p^2+3p-1)=(-5p^3 \cdot 4p^2)+(-5p^3 \cdot 3p)+(-5p^3 \cdot -1)`

Simplifying further , we get,

Applying property of exponent ,
`a^n\cdot a^m=a^(m+n)`

`(-5p^3 \cdot 4p^2)+(-5p^3 \cdot 3p)+(-5p^3 \cdot -1)=-20p^5-15p^4+5p^3`

Thus, the product of the given expression
`-5p^3(4p^2+3p-1)` is
`-20p^5-15p^4+5p^3`

Answer 2

The answer is -20p⁵ - 15p⁴ + 5p³

Distribute:
-5p³(4p² + 3p - 1) = (-5p³) * 4p² + (-5p³) * 3p - (-5p³) * 1 =
= (-20p³⁺²) + (-15p³⁺¹) - (-5p³) =
= -20p⁵ - 15p⁴ + 5p³