how to expand (3a+2b+5c)^2
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(3a+2b+5c)^2
Using the identity
(x+y+z)^2=
x^2+y^2+z^2+2(xy+yz+zx)
Here, x=3a
y=2b
z=5c
Now,
(3a+2b+5c)^2= (3a)^2+(2b)^2+(5c)^2+2[(3a)(2b)+(2b)(5c)+(5c)(3a)]
=9a^2+4b^2+25c^2+2(6ab+10bc+15ac)
= 9a^2+4b^2+25c^2+12ab+20bc+ 15ac
Hope it helps
Using the identity
(x+y+z)^2=
x^2+y^2+z^2+2(xy+yz+zx)
Here, x=3a
y=2b
z=5c
Now,
(3a+2b+5c)^2= (3a)^2+(2b)^2+(5c)^2+2[(3a)(2b)+(2b)(5c)+(5c)(3a)]
=9a^2+4b^2+25c^2+2(6ab+10bc+15ac)
= 9a^2+4b^2+25c^2+12ab+20bc+ 15ac
Hope it helps
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