Question

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Prove that (A-B) x (A + B) = 2(Ax B)​

Answer 1

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Secondary SchoolMath 5 points

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

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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)...

Hope it helps you....

Answer 2

Answer:

Explanation:(a-b) *a +(a-b)b

a*a - b*a + a*b - b*b

a*a =0. and b*b =0

(a-b) * (a+b) = (a*b) - (b*a) = (a*b) + (a*b)

ab (1+1)

= 2(ab)