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(2 +6)(2 +8)(2x+6)(2x+8)

less than a minute read Jun 16, 2024
(2 +6)(2 +8)(2x+6)(2x+8)

Expanding the Expression (2 + 6)(2 + 8)(2x + 6)(2x + 8)

This expression involves multiplying four binomials together. To simplify it, we can use the distributive property or the FOIL method.

Step 1: Simplifying the First Two Binomials

Let's start by simplifying the first two binomials: (2 + 6)(2 + 8).

  • (2 + 6)(2 + 8) = 8(10) = 80

Step 2: Simplifying the Last Two Binomials

Next, we simplify the last two binomials: (2x + 6)(2x + 8).

  • (2x + 6)(2x + 8) = 4x² + 16x + 12x + 48
  • = 4x² + 28x + 48

Step 3: Multiplying the Simplified Expressions

Now we have: 80 * (4x² + 28x + 48)

Finally, we distribute the 80:

  • 80 * (4x² + 28x + 48) = 320x² + 2240x + 3840

Final Result

Therefore, the simplified expression for (2 + 6)(2 + 8)(2x + 6)(2x + 8) is 320x² + 2240x + 3840.

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