<u><em>Answer:</em></u>
c = 25
<u><em>Explanation:</em></u>
<u>Before we begin, remember that:</u>
(x+a)² = x² + 2ax + a²
<u>Now, for the given we have:</u>
x² + 10x + c
<u>Equate this given with the general form mentioned in the above rule:</u>
x² + 10x + c = x² + 2ax + a²
<u>By comparison, we would fine that:</u>
2a = 10 ............> I
c = a² ...............> II
<u>From I:</u>
2a = 10
a = 5
<u>Substitute with the value of "a" in II to get c as follows:</u>
c = a²
c = (5)²
c = 25
<u>Based on the above, the complete expression would be:</u>
x² + 10x + 25 and would be factored as (x+5)² which is a perfect square
Hope this helps :)
Great job was is you strategies
Answer:
9^5×4^3
Step-by-step explanation:
9 has to multiply itself 5 times and 4 has to multiply itself 3 times
