Question

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Answer 1

Answer:

Step-by-step explanation:

A + iB = (a+ib)(c+id)(e+if)(g+ih)   ......................(1)

A^{2}  + B^{2} = (a^{2} + b^{2})(c^{2} + d^{2})(e^{2} + f^{2})(g^{2} + h^{2})     .......(2)

replace i = -i in equation 1

A - iB = (a - ib)(c - id)(e - if)(g - ih)   ............(3)

multiply equation (1) and (3)

(A - iB)(A + iB) = (a - ib)(a + ib)(c - id)(c + id)(e - if)(e + if)(g - ih)(g + ih)

(A^{2} -i^{2}B^{2}) = (a^{2} - i^{2}b^{2})x(c^{2} - i^{2}d^{2})x(e^{2} - i^{2}f^{2})x(g^{2}  - i^{2}h^{2})

put i^{2} = -1

(A^{2} + B^{2}) = (a^{2} + b^{2})x(c^{2} + d^{2})x(e^{2} + f^{2})x(g^{2} + h^{2})