A+b= 4 and ab = -12 find a²-b²

1.	A+b= 4 and ab = -12 find a²-b²
Answer» ANSWER: Answer :- To find a² - b² a + B = 4 AB = -12 ________________________________ Use indentity :- (a + b)² = a² + b² + 2ab => 4² = a² + b² + 2 × (-12) => 16 + 24 = a² + b² => 40 = a² + b² use identity of (a - b)² = a² + b² - 2ab =>(a - b)² = 40 - 2 × (-12) => (a - b)² = 40 + 24 => ( a - b)² = 64 => a - b = 8 Now = a² - b² = (a + b)(a - b) => 4 × 8 => 32 ________________________________ Hope it's helpful Thank you

Answer»

Answer :-

To find a² - b²

a + B = 4

AB = -12

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Use indentity :-

(a + b)² = a² + b² + 2ab

=> 4² = a² + b² + 2 × (-12)

=> 16 + 24 = a² + b²

=> 40 = a² + b²

use identity of (a - b)² = a² + b² - 2ab

=>(a - b)² = 40 - 2 × (-12)

=> (a - b)² = 40 + 24

=> ( a - b)² = 64

=> a - b = 8

Now = a² - b² = (a + b)(a - b)

=> 4 × 8

=> 32

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Thank you