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What is the value of (x + 1)(x + 2) + (x + 1)(x - 2)?
What is the value of (x + 1)(x + 2) + (x + 1)(x - 2)?
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Practice Questions
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Q1
What is the value of (x + 1)(x + 2) + (x + 1)(x - 2)?
x² + 3x + 2
x² + 3x - 2
2x² + 2
2x² + 3x
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(x + 1)((x + 2) + (x - 2)) = (x + 1)(2x) = 2x² + 2x.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the value of (x + 1)(x + 2) + (x + 1)(x - 2)?
Solution:
(x + 1)((x + 2) + (x - 2)) = (x + 1)(2x) = 2x² + 2x.
Steps: 6
Show Steps
Step 1: Start with the expression (x + 1)(x + 2) + (x + 1)(x - 2).
Step 2: Notice that (x + 1) is common in both parts of the expression.
Step 3: Factor out (x + 1) from the expression: (x + 1)((x + 2) + (x - 2)).
Step 4: Simplify the expression inside the parentheses: (x + 2) + (x - 2) = x + 2 + x - 2 = 2x.
Step 5: Now the expression is (x + 1)(2x).
Step 6: Distribute (x + 1) with 2x: (x + 1)(2x) = 2x * x + 2x * 1 = 2x² + 2x.
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