Question

Simplify the product. 2p(–3p2 + 4p – 5)

Answer 1

Answer:
`2p(-3p^2+4p-5)=-6p^3+8p^2-10p`

Explanation:

Given expression:
`2p(-3p^2+4p-5)`

We can use distributive property which says that:_

`a(b+c)=ab+ac`, where a ,b and c be any real numbers or variables.

Then,
`2p(-3p^2+4p-5)=2p\cdot-3p^2+2p\cdot4p-2p\cdot5`

`=-6p^(1+2)+8p^(1+1)-10p`

Now, we use product law of exponent which says that:-

`a^m* a^n=a^(m+n)`

`\Rightarrow\ -6p^(1+2)+8p^(1+1)-10p=-6p^3+8p^2-10p`

Hence,
`2p(-3p^2+4p-5)=-6p^3+8p^2-10p`