Question 11
Find and correct the errors in the statement: $(y - 3)^{2} = y^{2} - 9$

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Solution

$L . H . S = (y - 3)^{2} = (y)^{2} - 2 (y) (3) + (3)^{2} [(a - b)^{2} = a^{2} - 2 a b + b^{2}] = y^{2} - 6 y + 9 \neq R . H . S T h e c o r r e c t s t a t e m e n t i s (y - 3)^{2} = y^{2} - 6 y + 9$

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Algebraic Identities

Standard VIII Mathematics

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Question 11 Find and correct the errors in the statement: (y−3)2=y2−9

L.H.S=(y−3)2=(y)2−2(y)(3)+(3)2[(a−b)2=a2−2ab+b2]=y2−6y+9≠ R.H.SThe correct statement is (y−3)2=y2−6y+9

Question 11
Find and correct the errors in the statement: $(y - 3)^{2} = y^{2} - 9$

$L . H . S = (y - 3)^{2} = (y)^{2} - 2 (y) (3) + (3)^{2} [(a - b)^{2} = a^{2} - 2 a b + b^{2}] = y^{2} - 6 y + 9 \neq R . H . S T h e c o r r e c t s t a t e m e n t i s (y - 3)^{2} = y^{2} - 6 y + 9$