Login or Sign Up

Ask a New Question

multiply the following polynomials

-2r(8r+5)

4a(a^2+7a+4)

(2y-3) (3y-2)

-16r^2 - 10r

4a^3 + 28a^2 + 16a

6y^2 - 13y + 6

Did you know?

Did you know that you can quickly multiply polynomials like (-2r)(8r+5) by using the Distributive Property? To find the product, you simply distribute -2r to each term inside the parentheses. In the case of (-2r)(8r+5), the result is -16r^2 - 10r. Similarly, for 4a(a^2+7a+4), you can multiply 4a by each term within the parentheses: 4a multiplied by a^2 gives 4a^3, 4a multiplied by 7a gives 28a^2, and 4a multiplied by 4 gives 16a. Combining these terms, you get the final result of 4a^3 + 28a^2 + 16a. Finally, when multiplying two binomials like (2y-3)(3y-2), you can use the FOIL method (First, Outer, Inner, Last) to find the product. First, multiply the values in the first positions: 2y multiplied by 3y gives 6y^2. Next, multiply the values in the outer positions: 2y multiplied by -2 gives -4y. Then, multiply the values in the inner positions: -3 multiplied by 3y gives -9y. Lastly, multiply the values in the last positions: -3 multiplied by -2 gives 6. Combining these terms, you get the final result of 6y^2 - 4y - 9y + 6, which simplifies to 6y^2 - 13y + 6.