Answer :
Answer:
Step-by-step explanation:To find the squares of 53 and 64 using an algebraic identity, we can use the formula ((a+b)^2 = a^2 + 2ab + b^2).
For (53^2), we can consider it as ((50+3)^2): (53^2 = (50+3)^2 = 50^2 + 2(50)(3) + 3^2 = 2500 + 300 + 9 = 2809)
For (64^2), we can consider it as ((60+4)^2): (64^2 = (60+4)^2 = 60^2 + 2(60)(4) + 4^2 = 3600 + 480 + 16 = 4096)
So, (53^2 = 2809) and (64^2 = 4096).
Answer:
a) 53=50+3.
(50+3)² =50²+3²+2(50)(3)
(by using this identity (a+b)²=a²+b²+2ab)
=2500+9+300
=2809
b) 64=(60+4)
60²+4²+2(60)(4)
(by using this identity (a+b)²= a²+b²+2ab)
=3600+16+480
=4096
Step-by-step explanation:
In this question we have to use identity