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Step-by-step explanation:
(a) { a^2 - b^2 = (a+b) (a-b) } ( Identity)
34^2-21^2 = (34+21)(34-21)
= (55)(13)
= 715 Answer
(b) a = 5-2√5
a^2 = (5-2√5)^2
= (5)^2 + (2√5)^2 - 2×5×2√5
{ ( a - b )^2 = a^2 + b^2 - 2ab } ( Identity)
= 25 + 4×5 - 20√5
= 25 + 20 - 20√5
= 45 - 20√5
= 5(9 - 4√5) Answer
Note : When we do square of a number which is in root the square got cancelled with the root .
Thanks
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