Expand (2x - y - 5)^2. | vedclass

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Question

(A) To expand $(2x - y - 5)^2$,we use the algebraic identity: $(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$.Here,$a = 2x$,$b = -y$,and $c = -5$.

Vedclass · Accepted Answer

$4x^2 + y^2 + 25 - 4xy + 10y - 20x$

Vedclass · Answer

(A) To expand $(2x - y - 5)^2$,we use the algebraic identity: $(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$.Here,$a = 2x$,$b = -y$,and $c = -5$.Substituting these values into the identity:$(2x - y - 5)^2 = (2x)^2 + (-y)^2 + (-5)^2 + 2(2x)(-y) + 2(-y)(-5) + 2(-5)(2x)$.Calculating each term:$= 4x^2 + y^2 + 25 - 4xy + 10y - 20x$.

Expand $(2x - y - 5)^2$.

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