Question

Multiply.

2(x+3) 4x(x+2)
x(x-1)
10(x+3)
Enter your answer, in simplest
form, in the box.

Answer 1

To simplify the expression, follow the order of operations and perform the necessary calculations. Simplify within parentheses, apply the distributive property, and multiply all the terms together and we get (8x^3 + 40x^2 + 96x)(x^2 - x)(10x + 30). .

Step-by-step explanation:

To simplify the expression: 2(x+3) * 4x(x+2) * x(x-1) * 10(x+3), we can follow the order of operations (PEMDAS). First, we simplify within each parentheses. Then, we perform multiplication and apply the distributive property if necessary. Finally, we multiply all the terms together.

First, let's simplify within the parentheses: 2(x+3) = 2x + 6 and 4x(x+2) = 4x^2 + 8x.

Next, we apply the distributive property: 2x + 6 * 4x^2 + 8x = 8x^3 + 16x^2 + 48x + 24x^2 + 48x = 8x^3 + 40x^2 + 96x.

Finally, we multiply by x(x-1) = x^2 - x and 10(x+3) = 10x + 30.

So the final expression becomes: (8x^3 + 40x^2 + 96x)(x^2 - x)(10x + 30).