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Mathematics 7 Online
EndersWorld:

FOILing

EndersWorld:

The expression \[(x+8)^2\] is equivalent to: \[2x+16\] \[x^2+8x+64\] \[x^2+64\] \[x^2-64\] \[x^2+16x+64\]

EndersWorld:

I wanna say C or \[x^2+64\] ThTs what I got after distributing the \[^2\]

563blackghost:

Split the expression, since it is by power of 2 then the expression is multiplied by itself. \(\bf{(x+8)(x+8)}\) So distribute. \(\bf{x^{2} +2x \times 8 + 8^{2}}\)

EndersWorld:

\[3x^2*8+64\] I did it soooo wrong

563blackghost:

make sure to pair and multiply right. \(\bf{x^{2} + (2x \times8) + 8^{2}}\)

EndersWorld:

\[8x^2+16x\]

Hero:

FOIL is just an acronym. The real rule to know regarding expanding binomials is the distributive property. You probably already know this one. a(b + c) = ab + ac In this case, let a = (x + 8) and b = x and c = 8 Then (x + 8)^2 = (x + 8)(x + 8) = (x + 8)x + (x + 8)8 = x^2 + 8x + 8x + 64 = x^2 + 16x + 64

EndersWorld:

:0

Hero:

Hope I didn't confuse you further.

EndersWorld:

Only slightly. S’ lot to take in at once.

Hero:

|dw:1524517842191:dw|

Hero:

If you simply apply the distributive property, and then simplify afterwards, you'll have it forever. No need for that silly FOIL again.

EndersWorld:

So the first part of the binomial is always 8?

EndersWorld:

A* not 8

Hero:

Yes

Hero:

The first binomial is always a

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