(x+6)(x+2) In Standard Form

2 min read Jun 17, 2024
(x+6)(x+2) In Standard Form

Expanding and Simplifying (x+6)(x+2)

This article will guide you through the process of expanding and simplifying the expression (x+6)(x+2) into standard form.

Understanding Standard Form

Standard form for a quadratic expression is ax² + bx + c, where a, b, and c are constants.

Expanding the Expression

To expand the expression, we use the distributive property (also known as FOIL):

  1. First: Multiply the first terms of each binomial: x * x = x²
  2. Outer: Multiply the outer terms of the binomials: x * 2 = 2x
  3. Inner: Multiply the inner terms of the binomials: 6 * x = 6x
  4. Last: Multiply the last terms of each binomial: 6 * 2 = 12

This gives us the expanded expression: x² + 2x + 6x + 12

Simplifying the Expression

Now, we combine the like terms:

x² + (2x + 6x) + 12

This simplifies to:

x² + 8x + 12

Conclusion

Therefore, the standard form of the expression (x+6)(x+2) is x² + 8x + 12.

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