Expand the following:(3a - 5b - c)^2 | vedclass

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Question

(A) To expand $(3a - 5b - c)^2$,we use the algebraic identity:$(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx$Here,$x = 3a$,$y = -5b$,and $z = -c$.

Vedclass · Accepted Answer

$9a^2 + 25b^2 + c^2 - 30ab + 10bc - 6ca$

Vedclass · Answer

(A) To expand $(3a - 5b - c)^2$,we use the algebraic identity:$(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx$Here,$x = 3a$,$y = -5b$,and $z = -c$.Substituting these values into the identity:$(3a - 5b - c)^2 = (3a)^2 + (-5b)^2 + (-c)^2 + 2(3a)(-5b) + 2(-5b)(-c) + 2(-c)(3a)$Calculating each term:$= 9a^2 + 25b^2 + c^2 - 30ab + 10bc - 6ca$

Expand the following:
$(3a - 5b - c)^2$

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Expand the following:$(3a - 5b - c)^2$