Jasonbradley
Home

(x+7)(x+3) In Standard Form

2 min read Jun 17, 2024
(x+7)(x+3) In Standard Form

Expanding and Simplifying (x+7)(x+3) into Standard Form

The expression (x+7)(x+3) represents the product of two binomials. To write it in standard form, we need to expand and simplify the expression.

Expanding the Expression

We can expand the expression using the FOIL method:

  • First: Multiply the first terms of each binomial: x * x = x²
  • Outer: Multiply the outer terms of the binomials: x * 3 = 3x
  • Inner: Multiply the inner terms of the binomials: 7 * x = 7x
  • Last: Multiply the last terms of each binomial: 7 * 3 = 21

This gives us: x² + 3x + 7x + 21

Simplifying the Expression

Now we combine the like terms:

x² + 10x + 21

Standard Form

The expression is now in standard form, which is ax² + bx + c, where a, b, and c are constants.

Therefore, the standard form of (x+7)(x+3) is x² + 10x + 21.

Related Post

Featured Posts