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(x+1)(x+2)(x+3) Answer

less than a minute read Jun 16, 2024
(x+1)(x+2)(x+3) Answer

Expanding (x+1)(x+2)(x+3)

This expression involves multiplying three binomials together. Here's how to expand it:

Step 1: Multiply the first two binomials

  • (x+1)(x+2) = x² + 2x + x + 2 = x² + 3x + 2

Step 2: Multiply the result from Step 1 by the third binomial

  • (x² + 3x + 2)(x+3) = x²(x+3) + 3x(x+3) + 2(x+3)

Step 3: Distribute and combine like terms

  • x³ + 3x² + 3x² + 9x + 2x + 6 = x³ + 6x² + 11x + 6

Therefore, the expanded form of (x+1)(x+2)(x+3) is x³ + 6x² + 11x + 6.

Note: This process can be applied to any multiplication of binomials. The key is to multiply two at a time and then simplify the result before multiplying by the next binomial.

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