(1)49.9²+9.98+0.1²=(49.9+0.1)^2=50^2=2500=2.5*10^3
(2)99²+199=(100-1)^2+199=100^2-200+1+199=100^2=10^4
(1)4a(a-b)+b²
=4a^2-4ab+b^2
=(2a+b)^2
(2)(4a²+1)²-16a²
=(4a^2+1+4a)(4a^2+1-4a)
=(2a+1)^2(2a-1)^2
(1)49.9²+9.98+0.1²=(49.9+0.1)^2=50^2=2500=2.5*10^3
(2)99²+199=(100-1)^2+199=100^2-200+1+199=100^2=10^4
(1)4a(a-b)+b²
=4a^2-4ab+b^2
=(2a+b)^2
(2)(4a²+1)²-16a²
=(4a^2+1+4a)(4a^2+1-4a)
=(2a+1)^2(2a-1)^2