1. 5[19+(5^2-16)^2]^2
5[19+(9)^2]^2
5[100]^2 = 50,000
2. (7m^3-6m^2+10)-(5m^3-9+3m-2m^2) =
7m^3-6m^2+10-5m^3+9-3m+2m^2 =
Combine like-terms:
2m^3-4m^2-3m+19
3. 3(a-2)(4a+1)-5(2a+3)(a-7) =
3(4a^2+1-8a-2)-5(2a^2-14a+3a-21) =
12a^2+3-24a-6-10a^2+70a-15a+105 =
Combine like-terms:
2a^2+31a+102.
4. 6a^2b/-2ab^2 = -3a^(b(2-b)).
5. 120(1+i)^2+180(1+i)^3/360(1+i) =
Divide the numerator and denominator of
the 2nd term by 180(1+i):
120(1+i)^2+(1+i)^2/2 =
(120 1/2)(1+i)^2 =
(241/2)(1+i)^2 =
(241/2)(1+2i+i^2) =
Replace i^2 with -1:
(241/2)(1+2i-1) =
(241/2)*2i = 241i.
(1+i)^2(120+180(1+i)/
1)5 [19+ (5^2-16) ^2] ^2
2)(7m^3-m-6m^2+10)-(5m^3-9+3m-2m^2)
3) 3 (a-2)(4a+1)-5(2a+3)(a-7)
4)6a^2b/-2ab^2
5) 120(1+i) ^2+180(1+i) ^3 /360(1+i)
2 answers
NOTE: Disregard the last expression.
The answer is 241i.
The answer is 241i.