Question

x-y=a+b, ax+by=a²-b² solve by cross multiplication method

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Answer 1

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

PROOF:

Multiplying (a+b) with it's conjugate pair as (a-b),

x-y = (a+b)* (a-b)/(a-b)

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

ax-ay-bx+by = a^2-b^2

ax+by-(ay+bx) = a^2-b^2

NOW,

x-y = a+b

comparing the LHS and RHS, we get,

x = a

y = -b

Put these values,

ax+by-[a(-b)+b(a)] = a^2-b^2

ax+by-(-ab+ab) = a^2-b^2

ax+by-0 = a^2-b^2

ax+by = a^2-b^2

HOPE THIS WILL HELP YOU, THANK YOU.