Answer:
c. (A + B)^2-A^2 + 2AB + B^2
Step-by-step explanation:
Given that:
a.
(A-B)^2 = A^2 - 2AB + B^2
If and only if AB = BA
Then;
(A-B)^2 = (A -B ) (A - B)
(A-B)^2 = A^2 - AB-BA + B^2 (FALSE)
b.
(AB)^2=A^2B^2
on true if any only if AB =BA
(AB)^2= (AB) (AB)
c.
(A+ B)^2 = A^2 + 2AB + B^2
(A+ B)^2 = (A + B) (A+B)
(A+ B)² = A × A + A × B + B × A + B × B
(A+ B)^2 = A^2 + A*B + B*A + B^2
This is true
Answer:
Step-by-step explanation:
Factor 
out of 
Answer:
Number of students van can carry = 11
Number of students bus can carry = 41
Step-by-step explanation:
Given the following :
HIGH SCHOOL A:
Number of students = 184
Number of vans(v) = 13
Number of buses(b) = 1
Mathematically,
13v + 1b = 184 - - - - (1)
HIGH SCHOOL B:
Number of students = 520
Number of vans(v) = 10
Number of buses(b) = 10
Mathematically,
10v + 10b = 520 - - - - (2)
Multiply (1) by 10 and (2) by 1
130v + 10b = 1840 - - - (3)
10v + 10b = 520 - - - (4)
Subtract (4) from (3)
120v = 1320
v = 11
Substitute v = 11 into (1)
13(11) + 1b = 184
143 + b = 184
b = 184 - 143
b = 41
Number of students van can carry = 11
Number of students bus can carry = 41
Answer:
95% chance
Step-by-step explanation:
10+6+3+1=20
1/20=0.05 or 5%
5% chance of the marble being green
100%-5%=95%
