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Addition and Subtraction of Algebraic Expression

The value of ...

Question

Question 32

The value of $(a + b)^{2} + (a - b)^{2}$ is
a) $2 a + 2 b$
b) $2 a - 2 b$
c) $2 a^{2} + 2 b^{2}$
a) $2 a^{2} + 2 b^{2}$

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Solution

We have,
$(a + b)^{2} + (a - b)^{2} = (a^{2} + b^{2} + 2 a b) + (a^{2} + b^{2} - 2 a b)$
$[∵ (a + b)^{2} = a^{2} + b^{2} + 2 a b a n d (a - b)^{2} = a^{2} + b^{2} - 2 a b]$
$= (a^{2} + a^{2}) + (b^{2} + b^{2}) + (2 a b - 2 a b)$ [combining the like terms]
$= 2 a^{2} + 2 b^{2}$

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Q. Question 33

The value of

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

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- 4 a b

2 a^{2} + 2 b^{2}

2 a^{2} - 2 b^{2}

The maximum value of the expression $y = 2 (a - x) (x + \sqrt{x^{2} + b^{2}})$ is

△ G

for the reaction is

A^{+} + B^{-} \to A^{2 +} + B^{2 -}

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for the reaction is:

\frac{1}{2} A^{+} + \frac{1}{2} B^{-} \to \frac{1}{2} A^{2 +} + \frac{1}{2} B^{2 -}

Question 58 (f)

Subtract:

$- 2 a^{2} - 2 b^{2}$ from $- a^{2} - b^{2} + 2 a b .$

(a + b) (2a – 3b + c) – (2a – 3b) c = $2 a^{2}$ – $2 b^{2}$ – ab + 4bc – 2ac.

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Addition and Subtraction of Algebraic Expression

Standard VIII Mathematics

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