Can someone help me with my algebra please? ):

Question

anonymous · Answer

I've started to answer some of it but idk if I'm going in the right direction

anonymous · Answer

attachment

sleepyjess · Answer

For the first one, you have it halfway done, now complete it :)

sleepyjess · Answer

standard form is $Ax^2 + Bx + C$

dan815 · Answer

did it say the grey regions side length was x+7 or did u write that there

anonymous · Answer

the grey regions side is x+7

dan815 · Answer

okay well look at that form sleepy jess gave you you have to rearrange the equation they gave you and put it in to that form
$$A=(x+7)^2 - (x-5)^2$$

dan815 · Answer

(x+7)*(x+7) must be the area of the big square
and (x-5)(x-5) is the area of the smaller square, 
by the a= length * width  rule

sleepyjess · Answer

I think dan can explain this better than me

dan815 · Answer

$$A=(x+7)^2-(x-5)^2\
A=x^2+14x+49 -(x-5)^2 $$
I simplfied part of it, can you simplify the (x-5)^2 part

anonymous · Answer

x^2−10x+25 right? ;~; ugh sorry if im completely wrong

dan815 · Answer

no that is right

dan815 · Answer

now simplify the full equation

dan815 · Answer

$$ A=(x+7)^2-(x-5)^2\
A=x^2+14x+49 -(x-5)^2\
A=x^2+14x+49 -(x^2-10x+25)\
A=x^2+14x+49-x^2+10x-25$$

dan815 · Answer

simplify the last line

anonymous · Answer

in case anyone that comes across this needs a clear step by step

anonymous · Answer

attachment