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Evaluate by using suitable identity:
(x - 2)(x + 2)(x² + 4)
Formula used:
- (a + b)(a - b) = a² - b²
Method:
First let's solve the first part of the question.
(x - 2)(x + 2)
= (x² - 2²)
= (x² - 4)
Now this number is multiplied with (x² + 4)
(x² - 4)(x² + 4)
= (x²)² - 4²
= (x⁴ - 16)
∴ The answer is (x⁴ - 16)
Some more identities:
- (a + b)² = a² + b² + 2ab
- (a - b)² = a² + b² - 2ab
- (a + b)³ = a³ + b³ + 3ab(a + b)
- (a - b)³ = a³ - b³ - 3ab(a - b)
- (a + b + c)² = a² + b² + c² + 2(ab + bc + ca)
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