Question

simplify
${a}^{2}( {b}^{2} - {c}^{2} ) + {b}^{2}( {c}^{2} - {a}^{2}) + {c}^{2} ( {a}^{2} - {b}^{2})$
​

Answer 1

Step-by-step explanation:

(a

2

+b

2

)x

2

−2(ac+bd)x+(c

2

+d

2

)=0 has equal roots.

Therefore, discriminant =0

Thus [2(ac+bd)]

2

+4(a

2

+b

2

)(c

2

+d

2

)

⇒a

2

c

2

+b

2

d

2

+2ac.bd=a

2

c

2

+a

2

d

2

+b

2

c

2

+b

2

d

2

⇒(ad−bc)

2

=0$

⇒ad−bc=0

⇒ad=bc

Answer 2

Step-by-step explanation:

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