160 x 106 + 94 x 94 =?

Q: 160 x 106 + 94 x 94 =?

106 x 106 + 94 x 94 =(106)2 + (94)2 =1/2 [2(a2 + b2)] =1/2 [(a+b)2 + (a-b)2] =1/2 [(106 + 94)2 + (106 -94 )2] =1/2 [ (200)2 + (12)2] = 1/2 x [ 40000 + 144 ] = 40144/2 = 20072 .

21032
20032
23032
20072

Correct Answer: 20072

Explanation:

106 x 106 + 94 x 94 =(106)² + (94)²
=1/2 [2(a² + b²)]
=1/2 [(a+b)² + (a-b)²]
=1/2 [(106 + 94)² + (106 -94 )²]
=1/2 [ (200)² + (12)²]
= 1/2 x [ 40000 + 144 ]
= 40144/2
= 20072 .

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160 x 106 + 94 x 94 =?

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