simplify (2√5+3√7)^2 show steps
pls i really need help
on simplifying just like (a+b)^2 = a^2+2ab +b^2 we get 40+2*2*3*\[\sqrt{35}\]+63 =103+6*square root of (35)
\[(2\sqrt{5}+3\sqrt{7})(2\sqrt{5}+3\sqrt{7})\]
so lost o.o
\[4\sqrt{25}+6\sqrt{35}+6\sqrt{35}+9\sqrt{49}\]
could you explain in like steps?
When it is squared, that means that you multiply it by itself, like \[4^{2}= 4\times4\]
Ok,(2\sqrt{5}+3\sqrt{7})(2\sqrt{5}+3\sqrt{7})
Oh,oops
That looks a little confusing
very lol
Here is a video to help you https://www.khanacademy.org/math/algebra/polynomials/multiplying_polynomials/v/multiplying-binomials
If you do not get it, I will try to explain
how does it help me simplify
It will show you how to simplify
ok
(a+b)^2=a^2+2*a*b +b^2
\[(2\sqrt{5} + 3\sqrt{7})^{2}\] \[(2\sqrt{5} + 3\sqrt{7}) (2\sqrt{5} + 3\sqrt{7})\] Because \[(a+b)^{2} = a^{2} + 2(a)(b) + b^{2}\] Therefore\[(2\sqrt{5} + 3\sqrt{7}) (2\sqrt{5} + 3\sqrt{7}) = 20 + 6\sqrt{35} + 63\] Therefore \[6\sqrt{35} +83\]
omg that's all i wanted thank you sooo much XD
Your welcome :)
@PinkPanda me??
yesh
@PinkPanda No problem ^.^
wait did you mean 83 or 43?
I meant 83
so you subtracted 20 from each side?
@BABYShawol184
No I multiplied the two binomials which gave me the answer \[20 + 6\sqrt{35} +83\] Then I simplified by adding 20 and 83 which gave me 83
oh ok lol
Does that help??? :S
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