(x%2B2)(x%2B3)-answer.jpeg "(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.