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Algebraic Identities

Question 13Fi...

Question

Question 13
Find and correct the errors in the statement: $(2 a + 3 b) (a - b) = 2 a^{2} - 3 b^{2}$

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Solution

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

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Q. Question 13
Find and correct the errors in the statement:

(2 a + 3 b) (a - b) = 2 a^{2} - 3 b^{2}

Find and correct the errors in the statement: (2a + 3b) (a − b) = 2a² − 3b²

Q. Find and correct errors of the following mathematical expressions:

(2 a + 3 b) (a - b) = 2 a^{2} - 3 b^{2}

2 a = b

, the pair of equations

a x + b y = 2 a^{2} - 3 b^{2}, x + 2 y = 2 a - 6 b

2 a = b

, the pair of equations

a x + b y = 2 a^{2} - 3 b^{2}, x + 2 y = 2 a - 6 b

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Algebraic Identities

Standard VIII Mathematics

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