Question

Multiply and collect live ternts (x+2)(10z-8).

Answer 1

To multiply the binomials (x+2) and (10z-8), we apply the distributive property (FOIL method) and simplify the expression to get 10xz + 20z - 8x - 16.

Step-by-step explanation:

The question requires us to multiply two binomials: (x+2) and (10z-8). To do this, we use the distributive property, also known as the FOIL method (which stands for First, Outside, Inside, Last).

First, multiply the first terms: x and 10z, which gives 10xz.

Next, multiply the outside terms: x and -8, which gives -8x.

Then, multiply the inside terms: 2 and 10z, which yields 20z.

Finally, multiply the last terms: 2 and -8, resulting in -16.

Add all the products together to collect like terms and the final expression is 10xz + 20z - 8x - 16.