expanded form of (2a+3b+4c)² is_______
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Answered by
1
Answer:
We know,
(x+y+z)2=x2+y2+z2+2xy+2yz+2zx [Identity]
Here,
x=2a
y=3b
z=4c
Putting Values in Identity, We get :
⇒ (2a+3b+4c)2=(2a)2+(3b)2+(4c)2+2(2a)(3b)+2(3b)(4c)+2(4c)(2a)
=4a2+9b2+16c2+12ab+24bc+16ac
I think it would be brainleast solution thanks
Answered by
1
Answer:
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca
(2a + 3b + 4c)² =
(2a)² + (3b)² + (4c)² + 2(2a)(3b) + 2(3b)(4c) + 2(4c)(2a)
(2a + 3b + 4c)² =
4a² + 9b² + 16c² + 12ab + 24bc + 16ac
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