Question

if a+b=4 and a-b=2 then a²-b²=​

Answer 1

Answer:

I think it's 0 if it's wrong then I'm sorry

Answer 2

Answer:

\large\boxed{\bigstar\:\:a-b=2\sqrt{2}\:\:\bigstar }

★a−b=2

2

★

Step-by-step explanation:

✧ Given:-

a+b=4

a×b=2

✧ To Find:-

Value of (a-b).

✧ Formula Applied:-

(a+b)²=a²+b²+2ab

(a-b)²=a²+b²-2ab

✧ Solution:-

⇒ (a+b)²=a²+b²+2ab

⇒ (a-b)²= a²+b²-2ab+2ab-2ab

⇒ (a-b)²= a²+b²+2ab-4ab

⇒ (a-b)²=(a+b)²-4ab [∵ (a+b)²=a²+b²+2ab]

⇒ (a-b)²=(4)²-4(2) [∵ (a+b)=4 and ab=2]

⇒ (a-b)²=16-8

⇒ (a-b)²=8

\implies (a-b)=\sqrt{8}⟹(a−b)=

8

\implies\boxed{a-b=2\sqrt{2} }⟹

a−b=2

2

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