Math, asked by lakshmigirish6971, 1 year ago

Prove that (a-b)x(a+b)=2(axb) and interpret it geometrically

Answers

Answered by knjroopa
39

Answer:

Step-by-step explanation:

Given Prove that (a-b)x(a+b)=2(axb) and interpret it geometrically

Now consider

(a - b)(a + b)

Applying distributive property over addition we get

(a - b) x a + (a - b) x b

a x a - b x a + a x b - b x b  

a x a = 0 and b x b = 0

(a - b) x (a + b) = (a x b) - (b x a) = (a x b) + (a x b)

ab(1 + 1)

2 (a x b)

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