Multipling polynomials: 3x+5yards +3x-5 yards
3x+5yards +3x-5 yards = 6x
6x1 inches 7x-3 inches =square inches
To multiply polynomials, we will use the distributive property. Given the expression (3x + 5 yards)(3x - 5 yards), we can follow these steps:
1. Identify the terms in the first polynomial: 3x and 5 yards.
2. Identify the terms in the second polynomial: 3x and -5 yards.
3. Multiply the terms systematically by using the distributive property.
a. First, multiply the first term of the first polynomial by each term of the second polynomial:
(3x) * (3x) = 9x^2
(3x) * (-5 yards) = -15xyards
b. Next, multiply the second term of the first polynomial by each term of the second polynomial:
(5 yards) * (3x) = 15xyards
(5 yards) * (-5 yards) = -25 yards^2
4. Combine like terms by adding or subtracting the coefficients of similar terms:
9x^2 + (-15xyards) + 15xyards + (-25 yards^2)
The -15xyards and 15xyards cancel each other out, leaving us with:
9x^2 + (-25 yards^2)
Simplifying further, we have the final product:
9x^2 - 25 yards^2
Therefore, the multiplication of the polynomials is 9x^2 - 25 yards^2.