Question

find the expansion of (2a+3b+4c)²​

Answer 1

Answer:

$4a {}^{2} + 9b {}^{2} + 14c {}^{2} + 12ab + 24bc + 16ac$

Step-by-step explanation:

Given,

$(2a + 3b + 4c) {}^{2} \\ by \: using \: identity \: (x + y + z) {}^{2} = x {}^{2} + y {}^{2} + z {}^{2} + 2xy + 2yz + 2zx \\ (2a) {}^{2} + (3b) {}^{2} + (4c) {}^{2} + 2(2a)(3b) + 2(3b)(4c) + 2(4c)(2a) \\ = 4a {}^{2} + 9b {}^{2} + 14c {}^{2} + 12ab + 24bc + 16ac$

Hope this will help you!!