Question

How do I rewrite x^2 + 14x +49 in (a+b)^2 or (a-b)^2?

Answer 1

(x+a)^2 = x^2 + a^2 + 2ax

ex:
(x+6)^2 = x^2 + 6^2 + 2*6x = x^2 + 36 + 12x

Answer 2

Isnt it (x+7)^2 +14x?

Answer 3

Very near :)

Its (x+7)^2

(x+7)^2 = x^2 + 2*7x +7^2 = x^2 + 14x +49

Answer 4

okay so for x^2-16x+64 it is (x+8)^2 -2*8x?

Answer 5

If u see a negative sign,

(x - a)^2 = x^2 + a^2 - 2ax

ex: (x- 6)^2 = x^2 + 6^2 - 2*6x = x^2 + 36 - 12x

x^2-16x+64 = (x - 8)^2

Answer 6

That confused me... okay so you ignored the -16x in the last line

Answer 7

First, you have to break it up into (x....)(x....)
and then you must figure out the factors of 49 that make 14 when added. So you can make it into (x+7)(x+7). There is two of the same factors so you can make it into (x+7)^2

Answer 8

lemme show it again:

If u see a negative sign,

(x - a)^2 = x^2 - 2ax + a^2

ex: (x- 6)^2 = x^2 - 2*6x+ 6^2 = x^2 - 12x + 36

(x - 8)^2 = x^2-2*8x+8^2 = x^2-16x+64

Answer 9

Oh! okay thank you ! :)