Please help me with these Polynomial Identities and Proofs problems for my notes if you can

1. Use polynomial identities to prove that 63^2 = (60 + 3)^2

2. Use polynomial identities to prove that 99 = 100 - 1

Please show and explain all your steps. Thank you for your help.

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Domking · 61-69, M Best Comment

polynomial identity 1
(x+y)^2= x^2+2xy+y^2
now if x=60 & y=3
Then (60+3)^2 =60^2+2*60*3+3^2
=3600+360+9= 3969
63^2=63×63=3969 so
(60+3)^2=63^2