Question

Multiply, Write your answer in simplest form.
(2d² - 5d + 2)
2d²-5d + 2

Answer 1

To multiply the given expression (2d² - 5d + 2) by 2d²-5d + 2, we use the distributive property and simplify the resulting expression.

Step-by-step explanation:

To multiply the given expression (2d² - 5d + 2) by 2d²-5d + 2, we use the distributive property and multiply each term of the first polynomial by each term of the second polynomial. This gives us:

2d² * (2d² - 5d + 2) - 5d * (2d² - 5d + 2) + 2 * (2d² - 5d + 2)

Simplifying each term, we get:

4d^4 - 10d³ + 4d² - 10d³ + 25d² - 10d + 4d² - 10d + 4

Combining like terms, we have:

4d^4 - 20d³ + 29d² - 20d + 4

Therefore, the product of (2d² - 5d + 2) and 2d²-5d + 2 is 4d^4 - 20d³ + 29d² - 20d + 4, in simplest form.

Learn more about multiplying polynomials