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hey here is the answer
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Answer:
(x + 2)(x - 2)(x + 1)
Step-by-step explanation:
Given : x³ + x² - 4x - 4
We can write this as in the form of brackets.
→ (x³ + x²) - (4x + 4)
Taking common terms out from both brackets.
→x²(x + 1) - 4(x + 1)
→ (x² - 4)(x + 1)
Now, we can write this as :
→ [ (x)² - (2)² ] (x + 1)
Identity : a² - b² = (a + b)(a - b)
Identity : a² - b² = (a + b)(a - b) Here, a = x, b = 2
→ (x + 2)(x - 2)(x + 1)
Other identities which are frequently used :
• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²
• (a + b)² - (a - b)² = 4ab
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