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Addition and Subtraction of Algebraic Expressions

f Subtract: -...

Question

Question 58 (f)

Subtract:

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

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Solution

We have,
$(- a^{2} - b^{2} + 2 a b) - (- 2 a^{2} - 2 b^{2}) = - a^{2} - b^{2} + 2 a b + 2 a^{2} + 2 b^{2}$
On combining the like terms,
$= - a^{2} + 2 a^{2} - b^{2} + 2 b^{2} + 2 a b = a^{2} + b^{2} + 2 a b$

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Similar questions

Question 58 (b)

Subtract:

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

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

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

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

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

A_{2} + B_{2} ⇌ 2 A B

K

\frac{1}{2} A_{2} + \frac{1}{2} B_{2} ⇌ A B

\sqrt{K}

Question 3 (vii)

Subtract:

$5 a^{2} - 7 a b + 5 b^{2} f r o m 3 a b - 2 a^{2} - 2 b^{2}$

2 A B ⇌ A_{2} + B_{2}

49

A B ⇌ \frac{1}{2} A_{2} + \frac{1}{2} B_{2}

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