EXPLANATION
M3. If a = 3 and b = 5, what is the value of a² + 2ab + b²?
a) 64
b) 70
c) 78
d) 90
ANSWER: a) 64
EXPLANATION:
To find the value of a² + 2ab + b², we substitute the given values of a and b and perform the necessary calculations. Let's substitute a = 3 and b = 5 into the expression:
a² + 2ab + b²
= 3² + 2(3)(5) + 5²
= 9 + 2(3)(5) + 25
= 9 + 2(15) + 25
= 9 + 30 + 25
= 64
Therefore, the value of a² + 2ab + b² when a = 3 and b = 5 is a) 64.