Answer:
36/25
Step-by-step explanation:
We would like to find the value of a² + 2b, given that a = 4/5 and b = 2/5.
Essentially, we just plug in 4/5 for a and 2/5 for b:
a² + 2b = (4/5)² + 2(2/5)
Remember that this little 2 symbol at the top of a means that we're squaring a. Squaring a number "a" just means that we are multiplying a to itself twice:
a² = a * a
So:
(4/5)² + 2 * (2/5) = (4/5) * (4/5) + 2 * (2/5)
Multiply the numerators and denominators for the first part:
(4 * 4) / (5 * 5) + 2 * (2/5) = 16/25 + 2 * (2/5)
Multiply the 2 by the numerator of 2/5 for the second part:
16/25 + (2 * 2)/5 = 16/25 + 4/5
We now need to add these two fractions. Find the common denominator; it's just 5 * 5 = 25. The first fraction, 16/25, already has 25 as its denominator, but we need to make 25 the denominator of the second fraction. To do so, we multiply the top and bottom by 5:
(4/5) * (5/5) = 20/25
Our equation is now:
16/25 + 20/25
Add the numerators:
(16 + 20)/25 = 36/25
And our answer is 36/25.
<em>~ an aesthetics lover</em>
