Question

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

Answer 1

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

Answer 2

Answer:

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

Step-by-step 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 $-20p^5-15p^4+5p^3$