Question

bute and simplify \\((5x + 1)(-5x^2 + 2x)\\). drag
\\((5x + 1)(-5x^2 + 2x)\\)
rect! now write the simplified answer in the box belo

Explanation:

Step1: Expand the product

Using the distributive property (FOIL method), we multiply each term in the first binomial by each term in the second binomial:
$$(5x + 1)(-5x^2 + 2x)=5x(-5x^2)+5x(2x)+1(-5x^2)+1(2x)$$

Step2: Simplify each term

Calculate each product:

• $5x(-5x^2)=-25x^3$
• $5x(2x)=10x^2$
• $1(-5x^2)=-5x^2$
• $1(2x)=2x$

Step3: Combine like terms

Combine the $x^2$ terms: $10x^2 - 5x^2 = 5x^2$
So the simplified expression is:
$$-25x^3 + 5x^2 + 2x$$

Answer:

$-25x^3 + 5x^2 + 2x$