## Expanding and Simplifying (x + 4)(x - 1)

This article will guide you through the process of expanding and simplifying the expression **(x + 4)(x - 1)** into standard quadratic form.

### Understanding the Process

The given expression is in **factored form**. To convert it to standard form, we need to multiply the two binomials using the **FOIL method**:

**F**irst: Multiply the first terms of each binomial.**O**uter: Multiply the outer terms of each binomial.**I**nner: Multiply the inner terms of each binomial.**L**ast: Multiply the last terms of each binomial.

### Applying the FOIL Method

**First**: x * x = x²**Outer**: x * -1 = -x**Inner**: 4 * x = 4x**Last**: 4 * -1 = -4

### Combining Like Terms

Now, we combine the resulting terms:

x² - x + 4x - 4

This simplifies to:

**x² + 3x - 4**

### Conclusion

Therefore, the standard form of the expression (x + 4)(x - 1) is **x² + 3x - 4**.