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Algebraic Identities

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Question

Question 12
Find and correct the errors in the statement: $(z + 5)^{2} = z^{2} + 25$

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Solution

$L . H . S = (z + 5)^{2} = (z)^{2} + 2 (z) (5) + (5)^{2} [(a + b)^{2} = a^{2} + 2 a b + b^{2}] = z^{2} + 10 z + 25 \neq R . H . S T h e c o r r e c t s t a t e m e n t i s (z + 5)^{2} = z^{2} + 10 z + 25$

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Algebraic Identities

Standard VIII Mathematics

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