What does (x + 7) to the power of 2 make/ (x + 7)^2 make?

Question

I need this answer to use as a guidance for other questions.
Thanks

Answer 1

(x + 7)^2 ximply means (x + 7)(x + 7)
Now lets try simplifying the formula given above.
(x + 7)(x + 7) = (x multiplied by x) + (x multipled by 7) + (7 multiplied by x) + (7 x 7)...
So therefore:
(x + 7)(x + 7) = x^2 +7x + 7x + 49 = x^2 + 14x + 49
(Combine the same terms together i.e 7x & 7x)
Hope helped. If you need anymore help feel free to message me x

Answer 2

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

Answer 3

(x+7)^2 can also be expressed as (x+7)(x+7) or x(x+7)+7(x+7). This equals x^2+7x+7x+49 or x^2+14x+49.

Answer 4

(x+7)^2 =x^2 + 14x + 49 Foil first outside inside last

Answer 5

For any equations in the form (x + a)^2, do the following-

square the value before the '+' ie x^2
sqaure the value after the '+' ie a^2
double the value of the equation inside the brackets ie. 2ax

Then all you do is simply add them together- x^2+2ax+a^2

So for your equation you would get-

x^2+14x+49

HOWEVER this method only works if the bracket is squared (ie. mulitiplied by itself). If it is something like (x+2)(x+5) you would have to use FOIL or the smiley face method or something!

If your equation was equal to 0, then it would have one repeated root of -7.

Hope this was helpful.

Answer 6

x^2+14x+49

Answer 7

x^2+14x+49

Answer 8

well think of it like this
when it says x lets say its ermm an xray.
ok whats one xray plus 7 more xrays = 8 xrays or you could say its 8x now to the power of 2 means times by 2 so 8 xrays times by 2 makes 16 xrays or 16x theres your answer 16x

Answer 9

They appear to be exactly the same. The ^ sign is simply a way of writing a power when there is either no way to superscript on a typewriter/ computer or there is no power sign on a calculator.

Answer 10

x2 + 14x +49