Question

Expand and simplify x(x+7)(x-2)

Answer 1

We can expand and simplify x(x+7)(x-2) using the distributive property. The distributive property states that:

a(b + c) = ab + ac

In this case, we have:

x(x+7)(x-2) = x(x) + x(7) + x(x-2)

We can then simplify each term:

x(x) = x^2

x(7) = 7x

x(x-2) = x^2 - 2x

When we add these terms together, we get:

2 + 7x + x^2 - 2x = 2x^2 + 5x

And after simplifying, we get:

2x^2 + 5x

Answer 2

x³ + 5x² - 14x

Explanation:

Simplify:

• First multiply (x + 7)(x - 2) using FOIL method.

(x + 7)(x - 2) = x*x + x * (-2) + 7*x + 7*(-2)

= x² - 2x + 7x - 14

Combine like terms. Like terms have same variable with same power. Here, (-2x) and 7x are like terms.

= x² + 5x - 14

• Now, multiply each term of x² + 5x -14 by x.

x*(x² + 5x - 14) = x*x² + x*5x - x * 14

= x³ + 5x² - 14x