Expand the following:(4a - b + 2c)^2 | vedclass

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(A) To expand the expression $(4a - b + 2c)^2$,we use the algebraic identity:$(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx$Here,$x = 4a$,$y = -b$

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$16a^2 + b^2 + 4c^2 - 8ab - 4bc + 16ac$

Vedclass · Answer

(A) To expand the expression $(4a - b + 2c)^2$,we use the algebraic identity:$(x + y + z)^2 = x^2 + y^2 + z^2 + 2xy + 2yz + 2zx$Here,$x = 4a$,$y = -b$,and $z = 2c$.Substituting these values into the identity:$(4a - b + 2c)^2 = (4a)^2 + (-b)^2 + (2c)^2 + 2(4a)(-b) + 2(-b)(2c) + 2(2c)(4a)$Calculating each term:$= 16a^2 + b^2 + 4c^2 - 8ab - 4bc + 16ac$

Expand the following:
$(4a - b + 2c)^2$

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Expand the following:$(4a - b + 2c)^2$