Expand (5x - 7y - z)^2. | vedclass

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Question

(A) To expand $(5x - 7y - z)^2$,we use the algebraic identity: $(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$.Here,$a = 5x$,$b = -7y$,and $c = -z

Vedclass · Accepted Answer

$25x^2 + 49y^2 + z^2 - 70xy + 14yz - 10zx$

Vedclass · Answer

(A) To expand $(5x - 7y - z)^2$,we use the algebraic identity: $(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca$.Here,$a = 5x$,$b = -7y$,and $c = -z$.Substituting these values into the identity:$(5x - 7y - z)^2 = (5x)^2 + (-7y)^2 + (-z)^2 + 2(5x)(-7y) + 2(-7y)(-z) + 2(-z)(5x)$.Calculating each term:$(5x)^2 = 25x^2$$(-7y)^2 = 49y^2$$(-z)^2 = z^2$$2(5x)(-7y) = -70xy$$2(-7y)(-z) = 14yz$$2(-z)(5x) = -10zx$Combining these,we get: $25x^2 + 49y^2 + z^2 - 70xy + 14yz - 10zx$.

Expand $(5x - 7y - z)^2$.

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