Question

What is (-1+2p)(3-4p) simplified

Answer 1

The simplified form of the expression (-1+2p)(3-4p) is -8p^2 + 10p - 3, found by using the distributive property and combining like terms.

Step-by-step explanation:

The student's question is asking to simplify the expression (-1+2p)(3-4p). To do this, we need to use the distributive property, multiplying each term in the first parenthesis by each term in the second parenthesis.

Let's do this step by step:

1. Multiply -1 by 3, which gives us -3.
2. Multiply -1 by -4p, which gives us +4p.
3. Multiply 2p by 3, which gives us +6p.
4. Multiply 2p by -4p, which gives us -8p^2.

Now combine like terms:

-3 + 4p + 6p - 8p^2

Simplify by adding the terms with p:

-3 + 10p - 8p^2

So the simplified form of the expression is -8p^2 + 10p - 3.