Find the product.
(5x+13)(7x−6)
The product of (5x + 13)(7x - 6) is 35x^2 - 47x - 78.
To find the product of (5x + 13)(7x - 6), we can use the distributive property to multiply each term in the first expression by each term in the second expression.
1. Multiply the first terms:
(5x)(7x) = 35x^2
2. Multiply the outer terms:
(5x)(-6) = -30x
3. Multiply the inner terms:
(13)(7x) = 91x
4. Multiply the last terms:
(13)(-6) = -78
5. Simplify and combine the terms:
35x^2 - 30x + 91x - 78
6. Combine like terms:
35x^2 + (91x - 30x) - 78
7. Simplify the middle terms:
35x^2 + 61x - 78
Therefore, the product of (5x + 13)(7x - 6) is 35x^2 + 61x - 78.
To find the product of (5x+13)(7x−6), we need to apply the distributive property.
First, multiply the first terms of each binomial: 5x * 7x = 35x^2.
Next, multiply the outer terms of each binomial: 5x * -6 = -30x.
Then, multiply the inner terms of each binomial: 13 * 7x = 91x.
Finally, multiply the last terms of each binomial: 13 * -6 = -78.
Now, we can add all the products we obtained:
35x^2 - 30x + 91x - 78
Combining like terms:
35x^2 + 61x - 78
Therefore, the product of (5x+13)(7x−6) is 35x^2 + 61x - 78.