find each product
(4a+1)(a-4)
There would only be one product.
4a^2 -15a - 4
To find the product of (4a+1)(a-4), you can use the distributive property of multiplication over addition.
Take the first term of the first expression, which is 4a, and multiply it by each term in the second expression, which is (a-4). Then, take the second term of the first expression, which is 1, and multiply it by each term in the second expression, again (a-4). Finally, add the two resulting products together.
Let's go step by step:
Step 1: Multiply the first term of the first expression by each term in the second expression.
4a * a = 4a^2
4a * -4 = -16a
Step 2: Multiply the second term of the first expression by each term in the second expression.
1 * a = a
1 * -4 = -4
Step 3: Add the two resulting products together.
(4a^2 - 16a) + (a - 4)
Combine like terms:
4a^2 - 16a + a - 4
Simplify the expression:
4a^2 - 15a - 4
Therefore, the product of (4a+1)(a-4) is 4a^2 - 15a - 4.