Question

C^2+40c+400 , factor the perfect square trinomial

Answer 1

This is a nice example problem, because it's simple to see that 20+20 = 40 and that 20*20 = 400. Based on this insight, we can reason almost intuitively that the perfect square of c^2+40c+400 would be
(c + 20)
We can even check our work by multiplying (c+20) * (c+20) in order to get the result
c^2 + 40c + 400

Answer 2

so c+20^2

Answer 3

In a more general case, if there exists a perfect square for a polynomial in the form
ax^2 + bx + c,
the perfect square will take the form
(dx + e)
such that
d*d = a;
de + de = b;
and
e*e = c.
In this case, the perfect square of c^2 + 40c + 400 is (c + 20) because
1*1 = 1
1*20 + 1*20 = 40
and
20 * 20 = 400

You could also check the work by performing (c+20)^2 or (c+20) * (c+20), of course

Answer 4

this hurts my brain ;-;

Answer 5

could u help me with some other questions ?

Answer 6

ok

Answer 7

wait who

Answer 8

either or idc who
i just need help

Answer 9

ok me

Answer 10

factor the perfect square trinomial. 9m^2-42m+49

Answer 11

(a+b)2=a2+2ab+b2.

Answer 12

lol

Answer 13

ight bye

Answer 14

thank u ^^

Answer 15

you welcome